id sid tid token lemma pos 5q47rn31x8v 1 1 ldpc ldpc PROPN 5q47rn31x8v 1 2 convolutional convolutional ADJ 5q47rn31x8v 1 3 codes code NOUN 5q47rn31x8v 1 4 have have AUX 5q47rn31x8v 1 5 been be AUX 5q47rn31x8v 1 6 shown show VERB 5q47rn31x8v 1 7 to to PART 5q47rn31x8v 1 8 be be AUX 5q47rn31x8v 1 9 capable capable ADJ 5q47rn31x8v 1 10 of of ADP 5q47rn31x8v 1 11 achieving achieve VERB 5q47rn31x8v 1 12 the the DET 5q47rn31x8v 1 13 same same ADJ 5q47rn31x8v 1 14 capacity capacity NOUN 5q47rn31x8v 1 15 - - PUNCT 5q47rn31x8v 1 16 approaching approach VERB 5q47rn31x8v 1 17 performance performance NOUN 5q47rn31x8v 1 18 as as ADP 5q47rn31x8v 1 19 ldpc ldpc NOUN 5q47rn31x8v 1 20 block block NOUN 5q47rn31x8v 1 21 codes code NOUN 5q47rn31x8v 1 22 with with ADP 5q47rn31x8v 1 23 iterative iterative ADJ 5q47rn31x8v 1 24 message message NOUN 5q47rn31x8v 1 25 passing pass VERB 5q47rn31x8v 1 26 decoding decoding NOUN 5q47rn31x8v 1 27 . . PUNCT 5q47rn31x8v 2 1 in in ADP 5q47rn31x8v 2 2 this this DET 5q47rn31x8v 2 3 dissertation dissertation NOUN 5q47rn31x8v 2 4 , , PUNCT 5q47rn31x8v 2 5 we we PRON 5q47rn31x8v 2 6 present present VERB 5q47rn31x8v 2 7 several several ADJ 5q47rn31x8v 2 8 methods method NOUN 5q47rn31x8v 2 9 of of ADP 5q47rn31x8v 2 10 deriving derive VERB 5q47rn31x8v 2 11 families family NOUN 5q47rn31x8v 2 12 of of ADP 5q47rn31x8v 2 13 time time NOUN 5q47rn31x8v 2 14 - - PUNCT 5q47rn31x8v 2 15 varying vary VERB 5q47rn31x8v 2 16 and and CCONJ 5q47rn31x8v 2 17 time time NOUN 5q47rn31x8v 2 18 - - PUNCT 5q47rn31x8v 2 19 invariant invariant ADJ 5q47rn31x8v 2 20 ldpc ldpc NOUN 5q47rn31x8v 2 21 convolutional convolutional ADJ 5q47rn31x8v 2 22 codes code NOUN 5q47rn31x8v 2 23 from from ADP 5q47rn31x8v 2 24 ldpc ldpc PROPN 5q47rn31x8v 2 25 block block NOUN 5q47rn31x8v 2 26 codes code NOUN 5q47rn31x8v 2 27 . . PUNCT 5q47rn31x8v 3 1 we we PRON 5q47rn31x8v 3 2 demonstrate demonstrate VERB 5q47rn31x8v 3 3 that that SCONJ 5q47rn31x8v 3 4 the the DET 5q47rn31x8v 3 5 derived derive VERB 5q47rn31x8v 3 6 ldpc ldpc NOUN 5q47rn31x8v 3 7 convolutional convolutional ADJ 5q47rn31x8v 3 8 codes code NOUN 5q47rn31x8v 3 9 significantly significantly ADV 5q47rn31x8v 3 10 outperform outperform VERB 5q47rn31x8v 3 11 the the DET 5q47rn31x8v 3 12 underlying underlie VERB 5q47rn31x8v 3 13 ldpc ldpc NOUN 5q47rn31x8v 3 14 block block NOUN 5q47rn31x8v 3 15 codes code NOUN 5q47rn31x8v 3 16 , , PUNCT 5q47rn31x8v 3 17 and and CCONJ 5q47rn31x8v 3 18 we we PRON 5q47rn31x8v 3 19 investigate investigate VERB 5q47rn31x8v 3 20 the the DET 5q47rn31x8v 3 21 reasons reason NOUN 5q47rn31x8v 3 22 for for ADP 5q47rn31x8v 3 23 these these DET 5q47rn31x8v 3 24 ' ' PUNCT 5q47rn31x8v 3 25 convolutional convolutional ADJ 5q47rn31x8v 3 26 gains gain NOUN 5q47rn31x8v 3 27 ' ' PUNCT 5q47rn31x8v 3 28 . . PUNCT 5q47rn31x8v 4 1 it it PRON 5q47rn31x8v 4 2 is be AUX 5q47rn31x8v 4 3 well well ADV 5q47rn31x8v 4 4 known know VERB 5q47rn31x8v 4 5 that that SCONJ 5q47rn31x8v 4 6 cycles cycle NOUN 5q47rn31x8v 4 7 in in ADP 5q47rn31x8v 4 8 the the DET 5q47rn31x8v 4 9 tanner tanner NOUN 5q47rn31x8v 4 10 graph graph NOUN 5q47rn31x8v 4 11 representation representation NOUN 5q47rn31x8v 4 12 of of ADP 5q47rn31x8v 4 13 a a DET 5q47rn31x8v 4 14 sparse sparse ADJ 5q47rn31x8v 4 15 code code NOUN 5q47rn31x8v 4 16 affect affect VERB 5q47rn31x8v 4 17 the the DET 5q47rn31x8v 4 18 iterative iterative ADJ 5q47rn31x8v 4 19 decoding decode VERB 5q47rn31x8v 4 20 algorithm algorithm PROPN 5q47rn31x8v 4 21 , , PUNCT 5q47rn31x8v 4 22 with with ADP 5q47rn31x8v 4 23 short short ADJ 5q47rn31x8v 4 24 cycles cycle NOUN 5q47rn31x8v 4 25 generally generally ADV 5q47rn31x8v 4 26 pushing push VERB 5q47rn31x8v 4 27 its its PRON 5q47rn31x8v 4 28 performance performance NOUN 5q47rn31x8v 4 29 further far ADV 5q47rn31x8v 4 30 away away ADV 5q47rn31x8v 4 31 from from ADP 5q47rn31x8v 4 32 optimum optimum ADJ 5q47rn31x8v 4 33 . . PUNCT 5q47rn31x8v 5 1 hence hence ADV 5q47rn31x8v 5 2 it it PRON 5q47rn31x8v 5 3 is be AUX 5q47rn31x8v 5 4 common common ADJ 5q47rn31x8v 5 5 practice practice NOUN 5q47rn31x8v 5 6 to to ADP 5q47rn31x8v 5 7 design design NOUN 5q47rn31x8v 5 8 codes code NOUN 5q47rn31x8v 5 9 that that PRON 5q47rn31x8v 5 10 do do AUX 5q47rn31x8v 5 11 not not PART 5q47rn31x8v 5 12 contain contain VERB 5q47rn31x8v 5 13 short short ADJ 5q47rn31x8v 5 14 cycles cycle NOUN 5q47rn31x8v 5 15 , , PUNCT 5q47rn31x8v 5 16 so so SCONJ 5q47rn31x8v 5 17 as as SCONJ 5q47rn31x8v 5 18 to to PART 5q47rn31x8v 5 19 obtain obtain VERB 5q47rn31x8v 5 20 independent independent ADJ 5q47rn31x8v 5 21 messages message NOUN 5q47rn31x8v 5 22 in in ADP 5q47rn31x8v 5 23 at at ADP 5q47rn31x8v 5 24 least least ADJ 5q47rn31x8v 5 25 the the DET 5q47rn31x8v 5 26 initial initial ADJ 5q47rn31x8v 5 27 iterations iteration NOUN 5q47rn31x8v 5 28 of of ADP 5q47rn31x8v 5 29 the the DET 5q47rn31x8v 5 30 decoding decode VERB 5q47rn31x8v 5 31 process process NOUN 5q47rn31x8v 5 32 . . PUNCT 5q47rn31x8v 6 1 we we PRON 5q47rn31x8v 6 2 show show VERB 5q47rn31x8v 6 3 that that SCONJ 5q47rn31x8v 6 4 the the DET 5q47rn31x8v 6 5 derived derived ADJ 5q47rn31x8v 6 6 ldpc ldpc NOUN 5q47rn31x8v 6 7 convolutional convolutional ADJ 5q47rn31x8v 6 8 codes code NOUN 5q47rn31x8v 6 9 have have VERB 5q47rn31x8v 6 10 better well ADJ 5q47rn31x8v 6 11 graph graph NOUN 5q47rn31x8v 6 12 - - PUNCT 5q47rn31x8v 6 13 cycle cycle NOUN 5q47rn31x8v 6 14 properties property NOUN 5q47rn31x8v 6 15 than than ADP 5q47rn31x8v 6 16 their their PRON 5q47rn31x8v 6 17 block block NOUN 5q47rn31x8v 6 18 code code NOUN 5q47rn31x8v 6 19 counterparts counterpart NOUN 5q47rn31x8v 6 20 . . PUNCT 5q47rn31x8v 7 1 in in ADP 5q47rn31x8v 7 2 particular particular ADJ 5q47rn31x8v 7 3 , , PUNCT 5q47rn31x8v 7 4 we we PRON 5q47rn31x8v 7 5 show show VERB 5q47rn31x8v 7 6 that that SCONJ 5q47rn31x8v 7 7 the the DET 5q47rn31x8v 7 8 unwrapping unwrap VERB 5q47rn31x8v 7 9 process process NOUN 5q47rn31x8v 7 10 that that PRON 5q47rn31x8v 7 11 is be AUX 5q47rn31x8v 7 12 used use VERB 5q47rn31x8v 7 13 to to PART 5q47rn31x8v 7 14 derive derive VERB 5q47rn31x8v 7 15 ldpc ldpc NOUN 5q47rn31x8v 7 16 convolutional convolutional ADJ 5q47rn31x8v 7 17 codes code NOUN 5q47rn31x8v 7 18 from from ADP 5q47rn31x8v 7 19 ldpc ldpc PROPN 5q47rn31x8v 7 20 block block NOUN 5q47rn31x8v 7 21 codes code NOUN 5q47rn31x8v 7 22 can can AUX 5q47rn31x8v 7 23 ' ' PUNCT 5q47rn31x8v 7 24 break break VERB 5q47rn31x8v 7 25 ' ' PUNCT 5q47rn31x8v 7 26 some some DET 5q47rn31x8v 7 27 cycles cycle NOUN 5q47rn31x8v 7 28 of of ADP 5q47rn31x8v 7 29 the the DET 5q47rn31x8v 7 30 underlying underlie VERB 5q47rn31x8v 7 31 ldpc ldpc PROPN 5q47rn31x8v 7 32 block block NOUN 5q47rn31x8v 7 33 code code NOUN 5q47rn31x8v 7 34 , , PUNCT 5q47rn31x8v 7 35 but but CCONJ 5q47rn31x8v 7 36 can can AUX 5q47rn31x8v 7 37 not not PART 5q47rn31x8v 7 38 create create VERB 5q47rn31x8v 7 39 any any DET 5q47rn31x8v 7 40 shorter short ADJ 5q47rn31x8v 7 41 cycles cycle NOUN 5q47rn31x8v 7 42 . . PUNCT 5q47rn31x8v 8 1 we we PRON 5q47rn31x8v 8 2 prove prove VERB 5q47rn31x8v 8 3 that that SCONJ 5q47rn31x8v 8 4 any any DET 5q47rn31x8v 8 5 cycle cycle NOUN 5q47rn31x8v 8 6 in in ADP 5q47rn31x8v 8 7 an an DET 5q47rn31x8v 8 8 ldpc ldpc PROPN 5q47rn31x8v 8 9 convolutional convolutional ADJ 5q47rn31x8v 8 10 code code NOUN 5q47rn31x8v 8 11 always always ADV 5q47rn31x8v 8 12 maps map VERB 5q47rn31x8v 8 13 to to ADP 5q47rn31x8v 8 14 a a DET 5q47rn31x8v 8 15 cycle cycle NOUN 5q47rn31x8v 8 16 of of ADP 5q47rn31x8v 8 17 the the DET 5q47rn31x8v 8 18 same same ADJ 5q47rn31x8v 8 19 or or CCONJ 5q47rn31x8v 8 20 smaller small ADJ 5q47rn31x8v 8 21 length length NOUN 5q47rn31x8v 8 22 in in ADP 5q47rn31x8v 8 23 the the DET 5q47rn31x8v 8 24 underlying underlie VERB 5q47rn31x8v 8 25 ldpc ldpc PROPN 5q47rn31x8v 8 26 block block PROPN 5q47rn31x8v 8 27 code code PROPN 5q47rn31x8v 8 28 . . PUNCT 5q47rn31x8v 9 1 minimum minimum ADJ 5q47rn31x8v 9 2 distance distance NOUN 5q47rn31x8v 9 3 is be AUX 5q47rn31x8v 9 4 an an DET 5q47rn31x8v 9 5 important important ADJ 5q47rn31x8v 9 6 code code NOUN 5q47rn31x8v 9 7 design design NOUN 5q47rn31x8v 9 8 parameter parameter NOUN 5q47rn31x8v 9 9 when when SCONJ 5q47rn31x8v 9 10 the the DET 5q47rn31x8v 9 11 channel channel NOUN 5q47rn31x8v 9 12 quality quality NOUN 5q47rn31x8v 9 13 is be AUX 5q47rn31x8v 9 14 high high ADJ 5q47rn31x8v 9 15 , , PUNCT 5q47rn31x8v 9 16 since since SCONJ 5q47rn31x8v 9 17 codewords codeword NOUN 5q47rn31x8v 9 18 that that PRON 5q47rn31x8v 9 19 are be AUX 5q47rn31x8v 9 20 minimum minimum ADJ 5q47rn31x8v 9 21 distance distance NOUN 5q47rn31x8v 9 22 apart apart ADV 5q47rn31x8v 9 23 are be AUX 5q47rn31x8v 9 24 the the DET 5q47rn31x8v 9 25 most most ADV 5q47rn31x8v 9 26 likely likely ADJ 5q47rn31x8v 9 27 to to PART 5q47rn31x8v 9 28 cause cause VERB 5q47rn31x8v 9 29 errors error NOUN 5q47rn31x8v 9 30 with with ADP 5q47rn31x8v 9 31 ml ml NOUN 5q47rn31x8v 9 32 or or CCONJ 5q47rn31x8v 9 33 near near ADJ 5q47rn31x8v 9 34 - - PUNCT 5q47rn31x8v 9 35 ml ml NOUN 5q47rn31x8v 9 36 decoding decoding NOUN 5q47rn31x8v 9 37 . . PUNCT 5q47rn31x8v 10 1 in in ADP 5q47rn31x8v 10 2 this this DET 5q47rn31x8v 10 3 case case NOUN 5q47rn31x8v 10 4 , , PUNCT 5q47rn31x8v 10 5 the the DET 5q47rn31x8v 10 6 minimum minimum ADJ 5q47rn31x8v 10 7 distance distance NOUN 5q47rn31x8v 10 8 determines determine VERB 5q47rn31x8v 10 9 the the DET 5q47rn31x8v 10 10 so so ADV 5q47rn31x8v 10 11 - - PUNCT 5q47rn31x8v 10 12 called call VERB 5q47rn31x8v 10 13 error error NOUN 5q47rn31x8v 10 14 floor floor NOUN 5q47rn31x8v 10 15 behavior behavior NOUN 5q47rn31x8v 10 16 in in ADP 5q47rn31x8v 10 17 the the DET 5q47rn31x8v 10 18 performance performance NOUN 5q47rn31x8v 10 19 curve curve NOUN 5q47rn31x8v 10 20 corresponding correspond VERB 5q47rn31x8v 10 21 to to ADP 5q47rn31x8v 10 22 high high ADJ 5q47rn31x8v 10 23 channel channel NOUN 5q47rn31x8v 10 24 signal signal NOUN 5q47rn31x8v 10 25 - - PUNCT 5q47rn31x8v 10 26 to to ADP 5q47rn31x8v 10 27 - - PUNCT 5q47rn31x8v 10 28 noise noise NOUN 5q47rn31x8v 10 29 ratios ratio NOUN 5q47rn31x8v 10 30 . . PUNCT 5q47rn31x8v 11 1 thus thus ADV 5q47rn31x8v 11 2 studying study VERB 5q47rn31x8v 11 3 the the DET 5q47rn31x8v 11 4 minimum minimum ADJ 5q47rn31x8v 11 5 distance distance NOUN 5q47rn31x8v 11 6 properties property NOUN 5q47rn31x8v 11 7 of of ADP 5q47rn31x8v 11 8 a a DET 5q47rn31x8v 11 9 code code NOUN 5q47rn31x8v 11 10 family family NOUN 5q47rn31x8v 11 11 gives give VERB 5q47rn31x8v 11 12 insight insight NOUN 5q47rn31x8v 11 13 into into ADP 5q47rn31x8v 11 14 its its PRON 5q47rn31x8v 11 15 error error NOUN 5q47rn31x8v 11 16 floor floor NOUN 5q47rn31x8v 11 17 behavior behavior NOUN 5q47rn31x8v 11 18 . . PUNCT 5q47rn31x8v 12 1 we we PRON 5q47rn31x8v 12 2 use use VERB 5q47rn31x8v 12 3 asymptotic asymptotic ADJ 5q47rn31x8v 12 4 methods method NOUN 5q47rn31x8v 12 5 to to PART 5q47rn31x8v 12 6 calculate calculate VERB 5q47rn31x8v 12 7 a a DET 5q47rn31x8v 12 8 lower lower ADV 5q47rn31x8v 12 9 bound bind VERB 5q47rn31x8v 12 10 on on ADP 5q47rn31x8v 12 11 the the DET 5q47rn31x8v 12 12 free free ADJ 5q47rn31x8v 12 13 distance distance NOUN 5q47rn31x8v 12 14 of of ADP 5q47rn31x8v 12 15 several several ADJ 5q47rn31x8v 12 16 ensembles ensemble NOUN 5q47rn31x8v 12 17 of of ADP 5q47rn31x8v 12 18 asymptotically asymptotically ADV 5q47rn31x8v 12 19 good good ADJ 5q47rn31x8v 12 20 ldpc ldpc NOUN 5q47rn31x8v 12 21 convolutional convolutional ADJ 5q47rn31x8v 12 22 codes code NOUN 5q47rn31x8v 12 23 derived derive VERB 5q47rn31x8v 12 24 from from ADP 5q47rn31x8v 12 25 protograph protograph NOUN 5q47rn31x8v 12 26 - - PUNCT 5q47rn31x8v 12 27 based base VERB 5q47rn31x8v 12 28 ldpc ldpc PROPN 5q47rn31x8v 12 29 block block NOUN 5q47rn31x8v 12 30 codes code NOUN 5q47rn31x8v 12 31 . . PUNCT 5q47rn31x8v 13 1 further far ADV 5q47rn31x8v 13 2 , , PUNCT 5q47rn31x8v 13 3 we we PRON 5q47rn31x8v 13 4 show show VERB 5q47rn31x8v 13 5 that that SCONJ 5q47rn31x8v 13 6 the the DET 5q47rn31x8v 13 7 free free ADJ 5q47rn31x8v 13 8 distance distance NOUN 5q47rn31x8v 13 9 to to PART 5q47rn31x8v 13 10 constraint constraint VERB 5q47rn31x8v 13 11 length length NOUN 5q47rn31x8v 13 12 ratio ratio NOUN 5q47rn31x8v 13 13 of of ADP 5q47rn31x8v 13 14 the the DET 5q47rn31x8v 13 15 ldpc ldpc PROPN 5q47rn31x8v 13 16 convolutional convolutional ADJ 5q47rn31x8v 13 17 codes code NOUN 5q47rn31x8v 13 18 exceeds exceed VERB 5q47rn31x8v 13 19 the the DET 5q47rn31x8v 13 20 minimum minimum ADJ 5q47rn31x8v 13 21 distance distance NOUN 5q47rn31x8v 13 22 to to PART 5q47rn31x8v 13 23 block block VERB 5q47rn31x8v 13 24 length length NOUN 5q47rn31x8v 13 25 ratio ratio NOUN 5q47rn31x8v 13 26 of of ADP 5q47rn31x8v 13 27 the the DET 5q47rn31x8v 13 28 corresponding correspond VERB 5q47rn31x8v 13 29 ldpc ldpc NOUN 5q47rn31x8v 13 30 block block NOUN 5q47rn31x8v 13 31 codes code NOUN 5q47rn31x8v 13 32 . . PUNCT 5q47rn31x8v 14 1 message message NOUN 5q47rn31x8v 14 2 - - PUNCT 5q47rn31x8v 14 3 passing pass VERB 5q47rn31x8v 14 4 iterative iterative ADJ 5q47rn31x8v 14 5 decoders decoder NOUN 5q47rn31x8v 14 6 for for ADP 5q47rn31x8v 14 7 ldpc ldpc NOUN 5q47rn31x8v 14 8 block block NOUN 5q47rn31x8v 14 9 codes code NOUN 5q47rn31x8v 14 10 are be AUX 5q47rn31x8v 14 11 known know VERB 5q47rn31x8v 14 12 to to PART 5q47rn31x8v 14 13 be be AUX 5q47rn31x8v 14 14 subject subject ADJ 5q47rn31x8v 14 15 to to ADP 5q47rn31x8v 14 16 decoding decode VERB 5q47rn31x8v 14 17 failures failure NOUN 5q47rn31x8v 14 18 due due ADJ 5q47rn31x8v 14 19 to to ADP 5q47rn31x8v 14 20 so so ADV 5q47rn31x8v 14 21 - - PUNCT 5q47rn31x8v 14 22 called call VERB 5q47rn31x8v 14 23 pseudo pseudo NOUN 5q47rn31x8v 14 24 - - NOUN 5q47rn31x8v 14 25 codewords codeword NOUN 5q47rn31x8v 14 26 . . PUNCT 5q47rn31x8v 15 1 these these DET 5q47rn31x8v 15 2 failures failure NOUN 5q47rn31x8v 15 3 can can AUX 5q47rn31x8v 15 4 cause cause VERB 5q47rn31x8v 15 5 the the DET 5q47rn31x8v 15 6 large large ADJ 5q47rn31x8v 15 7 signal signal NOUN 5q47rn31x8v 15 8 - - PUNCT 5q47rn31x8v 15 9 to to ADP 5q47rn31x8v 15 10 - - PUNCT 5q47rn31x8v 15 11 noise noise NOUN 5q47rn31x8v 15 12 ratio ratio NOUN 5q47rn31x8v 15 13 performance performance NOUN 5q47rn31x8v 15 14 of of ADP 5q47rn31x8v 15 15 message message NOUN 5q47rn31x8v 15 16 - - PUNCT 5q47rn31x8v 15 17 passing pass VERB 5q47rn31x8v 15 18 iterative iterative ADJ 5q47rn31x8v 15 19 decoding decoding NOUN 5q47rn31x8v 15 20 to to PART 5q47rn31x8v 15 21 be be AUX 5q47rn31x8v 15 22 worse bad ADJ 5q47rn31x8v 15 23 than than SCONJ 5q47rn31x8v 15 24 that that PRON 5q47rn31x8v 15 25 predicted predict VERB 5q47rn31x8v 15 26 by by ADP 5q47rn31x8v 15 27 the the DET 5q47rn31x8v 15 28 maximum maximum ADJ 5q47rn31x8v 15 29 - - PUNCT 5q47rn31x8v 15 30 likelihood likelihood NOUN 5q47rn31x8v 15 31 decoding decode VERB 5q47rn31x8v 15 32 union union NOUN 5q47rn31x8v 15 33 bound bind VERB 5q47rn31x8v 15 34 . . PUNCT 5q47rn31x8v 16 1 we we PRON 5q47rn31x8v 16 2 address address VERB 5q47rn31x8v 16 3 the the DET 5q47rn31x8v 16 4 pseudo pseudo NOUN 5q47rn31x8v 16 5 - - ADJ 5q47rn31x8v 16 6 codeword codeword ADJ 5q47rn31x8v 16 7 problem problem NOUN 5q47rn31x8v 16 8 from from ADP 5q47rn31x8v 16 9 the the DET 5q47rn31x8v 16 10 convolutional convolutional ADJ 5q47rn31x8v 16 11 code code NOUN 5q47rn31x8v 16 12 perspective perspective NOUN 5q47rn31x8v 16 13 . . PUNCT 5q47rn31x8v 17 1 in in ADP 5q47rn31x8v 17 2 particular particular ADJ 5q47rn31x8v 17 3 , , PUNCT 5q47rn31x8v 17 4 we we PRON 5q47rn31x8v 17 5 show show VERB 5q47rn31x8v 17 6 that that SCONJ 5q47rn31x8v 17 7 the the DET 5q47rn31x8v 17 8 minimum minimum ADJ 5q47rn31x8v 17 9 pseudo pseudo NOUN 5q47rn31x8v 17 10 - - NOUN 5q47rn31x8v 17 11 weight weight NOUN 5q47rn31x8v 17 12 of of ADP 5q47rn31x8v 17 13 an an DET 5q47rn31x8v 17 14 ldpc ldpc PROPN 5q47rn31x8v 17 15 convolutional convolutional ADJ 5q47rn31x8v 17 16 code code NOUN 5q47rn31x8v 17 17 is be AUX 5q47rn31x8v 17 18 at at ADV 5q47rn31x8v 17 19 least least ADJ 5q47rn31x8v 17 20 as as ADV 5q47rn31x8v 17 21 large large ADJ 5q47rn31x8v 17 22 as as ADP 5q47rn31x8v 17 23 the the DET 5q47rn31x8v 17 24 minimum minimum ADJ 5q47rn31x8v 17 25 pseudo pseudo NOUN 5q47rn31x8v 17 26 - - NOUN 5q47rn31x8v 17 27 weight weight NOUN 5q47rn31x8v 17 28 of of ADP 5q47rn31x8v 17 29 an an DET 5q47rn31x8v 17 30 underlying underlie VERB 5q47rn31x8v 17 31 ldpc ldpc NOUN 5q47rn31x8v 17 32 block block NOUN 5q47rn31x8v 17 33 code code PROPN 5q47rn31x8v 17 34 . . PUNCT 5q47rn31x8v 18 1 this this DET 5q47rn31x8v 18 2 result result NOUN 5q47rn31x8v 18 3 , , PUNCT 5q47rn31x8v 18 4 which which PRON 5q47rn31x8v 18 5 parallels parallel VERB 5q47rn31x8v 18 6 a a DET 5q47rn31x8v 18 7 well well ADV 5q47rn31x8v 18 8 - - PUNCT 5q47rn31x8v 18 9 known know VERB 5q47rn31x8v 18 10 relationship relationship NOUN 5q47rn31x8v 18 11 between between ADP 5q47rn31x8v 18 12 the the DET 5q47rn31x8v 18 13 minimum minimum ADJ 5q47rn31x8v 18 14 hamming hamming ADJ 5q47rn31x8v 18 15 weight weight NOUN 5q47rn31x8v 18 16 of of ADP 5q47rn31x8v 18 17 convolutional convolutional ADJ 5q47rn31x8v 18 18 codes code NOUN 5q47rn31x8v 18 19 and and CCONJ 5q47rn31x8v 18 20 the the DET 5q47rn31x8v 18 21 minimum minimum ADJ 5q47rn31x8v 18 22 hamming hamming ADJ 5q47rn31x8v 18 23 weight weight NOUN 5q47rn31x8v 18 24 of of ADP 5q47rn31x8v 18 25 their their PRON 5q47rn31x8v 18 26 quasi quasi ADJ 5q47rn31x8v 18 27 - - ADJ 5q47rn31x8v 18 28 cyclic cyclic ADJ 5q47rn31x8v 18 29 counterparts counterpart NOUN 5q47rn31x8v 18 30 , , PUNCT 5q47rn31x8v 18 31 is be AUX 5q47rn31x8v 18 32 due due ADJ 5q47rn31x8v 18 33 to to ADP 5q47rn31x8v 18 34 the the DET 5q47rn31x8v 18 35 fact fact NOUN 5q47rn31x8v 18 36 that that SCONJ 5q47rn31x8v 18 37 every every DET 5q47rn31x8v 18 38 pseudo pseudo NOUN 5q47rn31x8v 18 39 - - NOUN 5q47rn31x8v 18 40 codeword codeword NOUN 5q47rn31x8v 18 41 in in ADP 5q47rn31x8v 18 42 the the DET 5q47rn31x8v 18 43 ldpc ldpc PROPN 5q47rn31x8v 18 44 convolutional convolutional PROPN 5q47rn31x8v 18 45 code code NOUN 5q47rn31x8v 18 46 induces induce VERB 5q47rn31x8v 18 47 a a DET 5q47rn31x8v 18 48 pseudo pseudo NOUN 5q47rn31x8v 18 49 - - NOUN 5q47rn31x8v 18 50 codeword codeword NOUN 5q47rn31x8v 18 51 in in ADP 5q47rn31x8v 18 52 the the DET 5q47rn31x8v 18 53 ldpc ldpc PROPN 5q47rn31x8v 18 54 block block PROPN 5q47rn31x8v 18 55 code code NOUN 5q47rn31x8v 18 56 with with ADP 5q47rn31x8v 18 57 pseudo pseudo NOUN 5q47rn31x8v 18 58 - - NOUN 5q47rn31x8v 18 59 weight weight NOUN 5q47rn31x8v 18 60 no no ADV 5q47rn31x8v 18 61 larger large ADJ 5q47rn31x8v 18 62 than than ADP 5q47rn31x8v 18 63 that that PRON 5q47rn31x8v 18 64 of of ADP 5q47rn31x8v 18 65 the the DET 5q47rn31x8v 18 66 convolutional convolutional ADJ 5q47rn31x8v 18 67 pseudo pseudo NOUN 5q47rn31x8v 18 68 - - NOUN 5q47rn31x8v 18 69 codeword codeword NOUN 5q47rn31x8v 18 70 . . PUNCT 5q47rn31x8v 19 1 more more ADV 5q47rn31x8v 19 2 generally generally ADV 5q47rn31x8v 19 3 , , PUNCT 5q47rn31x8v 19 4 we we PRON 5q47rn31x8v 19 5 demonstrate demonstrate VERB 5q47rn31x8v 19 6 a a DET 5q47rn31x8v 19 7 difference difference NOUN 5q47rn31x8v 19 8 in in ADP 5q47rn31x8v 19 9 the the DET 5q47rn31x8v 19 10 weight weight NOUN 5q47rn31x8v 19 11 spectra spectra NOUN 5q47rn31x8v 19 12 of of ADP 5q47rn31x8v 19 13 ldpc ldpc NOUN 5q47rn31x8v 19 14 block block NOUN 5q47rn31x8v 19 15 and and CCONJ 5q47rn31x8v 19 16 convolutional convolutional ADJ 5q47rn31x8v 19 17 codes code NOUN 5q47rn31x8v 19 18 that that PRON 5q47rn31x8v 19 19 leads lead VERB 5q47rn31x8v 19 20 to to ADP 5q47rn31x8v 19 21 improved improve VERB 5q47rn31x8v 19 22 performance performance NOUN 5q47rn31x8v 19 23 at at ADP 5q47rn31x8v 19 24 low low ADJ 5q47rn31x8v 19 25 - - PUNCT 5q47rn31x8v 19 26 to to ADP 5q47rn31x8v 19 27 - - PUNCT 5q47rn31x8v 19 28 moderate moderate ADJ 5q47rn31x8v 19 29 signal signal NOUN 5q47rn31x8v 19 30 - - PUNCT 5q47rn31x8v 19 31 to to ADP 5q47rn31x8v 19 32 - - PUNCT 5q47rn31x8v 19 33 noise noise NOUN 5q47rn31x8v 19 34 ratios ratio NOUN 5q47rn31x8v 19 35 for for ADP 5q47rn31x8v 19 36 the the DET 5q47rn31x8v 19 37 convolutional convolutional ADJ 5q47rn31x8v 19 38 codes code NOUN 5q47rn31x8v 19 39 , , PUNCT 5q47rn31x8v 19 40 a a DET 5q47rn31x8v 19 41 conclusion conclusion NOUN 5q47rn31x8v 19 42 supported support VERB 5q47rn31x8v 19 43 by by ADP 5q47rn31x8v 19 44 simulation simulation NOUN 5q47rn31x8v 19 45 results result NOUN 5q47rn31x8v 19 46 . . PUNCT