id sid tid token lemma pos js956d5977j 1 1 a a DET js956d5977j 1 2 j j ADV js956d5977j 1 3 - - PUNCT js956d5977j 1 4 dimensional dimensional ADJ js956d5977j 1 5 multiple multiple ADJ js956d5977j 1 6 turbo turbo NOUN js956d5977j 1 7 code code NOUN js956d5977j 1 8 consists consist VERB js956d5977j 1 9 of of ADP js956d5977j 1 10 the the DET js956d5977j 1 11 parallel parallel ADJ js956d5977j 1 12 concatenation concatenation NOUN js956d5977j 1 13 of of ADP js956d5977j 1 14 j j X js956d5977j 1 15 ( ( PUNCT js956d5977j 1 16 j>2 j>2 PROPN js956d5977j 1 17 ) ) PUNCT js956d5977j 1 18 convolutional convolutional ADJ js956d5977j 1 19 encoders encoder NOUN js956d5977j 1 20 connected connect VERB js956d5977j 1 21 by by ADP js956d5977j 1 22 j-1 j-1 PROPN js956d5977j 1 23 permutors permutor NOUN js956d5977j 1 24 . . PUNCT js956d5977j 2 1 this this DET js956d5977j 2 2 dissertation dissertation NOUN js956d5977j 2 3 is be AUX js956d5977j 2 4 devoted devote VERB js956d5977j 2 5 to to ADP js956d5977j 2 6 the the DET js956d5977j 2 7 ananlysis ananlysis NOUN js956d5977j 2 8 and and CCONJ js956d5977j 2 9 design design NOUN js956d5977j 2 10 of of ADP js956d5977j 2 11 multiple multiple ADJ js956d5977j 2 12 turbo turbo NOUN js956d5977j 2 13 codes code NOUN js956d5977j 2 14 . . PUNCT js956d5977j 3 1 the the DET js956d5977j 3 2 convergence convergence NOUN js956d5977j 3 3 behavior behavior NOUN js956d5977j 3 4 of of ADP js956d5977j 3 5 multiple multiple ADJ js956d5977j 3 6 turbo turbo NOUN js956d5977j 3 7 codes code NOUN js956d5977j 3 8 , , PUNCT js956d5977j 3 9 which which PRON js956d5977j 3 10 is be AUX js956d5977j 3 11 the the DET js956d5977j 3 12 most most ADV js956d5977j 3 13 important important ADJ js956d5977j 3 14 factor factor NOUN js956d5977j 3 15 that that PRON js956d5977j 3 16 determines determine VERB js956d5977j 3 17 the the DET js956d5977j 3 18 bit bit NOUN js956d5977j 3 19 error error NOUN js956d5977j 3 20 rate rate NOUN js956d5977j 3 21 ( ( PUNCT js956d5977j 3 22 ber ber PROPN js956d5977j 3 23 ) ) PUNCT js956d5977j 3 24 and and CCONJ js956d5977j 3 25 frame frame NOUN js956d5977j 3 26 error error NOUN js956d5977j 3 27 rate rate NOUN js956d5977j 3 28 ( ( PUNCT js956d5977j 3 29 fer fer NOUN js956d5977j 3 30 ) ) PUNCT js956d5977j 3 31 performance performance NOUN js956d5977j 3 32 in in ADP js956d5977j 3 33 the the DET js956d5977j 3 34 low low ADJ js956d5977j 3 35 signal signal NOUN js956d5977j 3 36 - - PUNCT js956d5977j 3 37 to to ADP js956d5977j 3 38 - - PUNCT js956d5977j 3 39 noise noise NOUN js956d5977j 3 40 ratio ratio NOUN js956d5977j 3 41 ( ( PUNCT js956d5977j 3 42 snr snr PROPN js956d5977j 3 43 ) ) PUNCT js956d5977j 3 44 region region NOUN js956d5977j 3 45 , , PUNCT js956d5977j 3 46 is be AUX js956d5977j 3 47 studied study VERB js956d5977j 3 48 using use VERB js956d5977j 3 49 two two NUM js956d5977j 3 50 approaches approach NOUN js956d5977j 3 51 . . PUNCT js956d5977j 4 1 first first ADV js956d5977j 4 2 , , PUNCT js956d5977j 4 3 an an DET js956d5977j 4 4 analytical analytical ADJ js956d5977j 4 5 approach approach NOUN js956d5977j 4 6 to to PART js956d5977j 4 7 determine determine VERB js956d5977j 4 8 the the DET js956d5977j 4 9 transfer transfer NOUN js956d5977j 4 10 characteristics characteristic NOUN js956d5977j 4 11 of of ADP js956d5977j 4 12 2 2 NUM js956d5977j 4 13 - - PUNCT js956d5977j 4 14 state state NOUN js956d5977j 4 15 convolutional convolutional ADJ js956d5977j 4 16 codes code NOUN js956d5977j 4 17 is be AUX js956d5977j 4 18 derived derive VERB js956d5977j 4 19 . . PUNCT js956d5977j 5 1 the the DET js956d5977j 5 2 extrinsic extrinsic ADJ js956d5977j 5 3 information information NOUN js956d5977j 5 4 transfer transfer NOUN js956d5977j 5 5 ( ( PUNCT js956d5977j 5 6 exit exit NOUN js956d5977j 5 7 ) ) PUNCT js956d5977j 5 8 chart chart NOUN js956d5977j 5 9 method method NOUN js956d5977j 5 10 is be AUX js956d5977j 5 11 then then ADV js956d5977j 5 12 generalized generalize VERB js956d5977j 5 13 to to ADP js956d5977j 5 14 multiple multiple ADJ js956d5977j 5 15 turbo turbo NOUN js956d5977j 5 16 codes code NOUN js956d5977j 5 17 and and CCONJ js956d5977j 5 18 used use VERB js956d5977j 5 19 to to PART js956d5977j 5 20 search search VERB js956d5977j 5 21 for for ADP js956d5977j 5 22 low low ADJ js956d5977j 5 23 complexity complexity NOUN js956d5977j 5 24 multiple multiple ADJ js956d5977j 5 25 turbo turbo NOUN js956d5977j 5 26 codes code NOUN js956d5977j 5 27 with with ADP js956d5977j 5 28 low low ADJ js956d5977j 5 29 convergence convergence NOUN js956d5977j 5 30 thresholds threshold NOUN js956d5977j 5 31 . . PUNCT js956d5977j 6 1 the the DET js956d5977j 6 2 performance performance NOUN js956d5977j 6 3 of of ADP js956d5977j 6 4 a a DET js956d5977j 6 5 multiple multiple ADJ js956d5977j 6 6 turbo turbo NOUN js956d5977j 6 7 code code NOUN js956d5977j 6 8 in in ADP js956d5977j 6 9 the the DET js956d5977j 6 10 high high ADJ js956d5977j 6 11 snr snr PROPN js956d5977j 6 12 region region NOUN js956d5977j 6 13 is be AUX js956d5977j 6 14 largely largely ADV js956d5977j 6 15 affected affect VERB js956d5977j 6 16 by by ADP js956d5977j 6 17 its its PRON js956d5977j 6 18 minimum minimum NOUN js956d5977j 6 19 distance distance NOUN js956d5977j 6 20 . . PUNCT js956d5977j 7 1 to to PART js956d5977j 7 2 simplify simplify VERB js956d5977j 7 3 the the DET js956d5977j 7 4 minimum minimum ADJ js956d5977j 7 5 distance distance NOUN js956d5977j 7 6 analysis analysis NOUN js956d5977j 7 7 , , PUNCT js956d5977j 7 8 the the DET js956d5977j 7 9 concept concept NOUN js956d5977j 7 10 of of ADP js956d5977j 7 11 summary summary NOUN js956d5977j 7 12 distance distance NOUN js956d5977j 7 13 is be AUX js956d5977j 7 14 extended extend VERB js956d5977j 7 15 to to ADP js956d5977j 7 16 j j X js956d5977j 7 17 - - ADJ js956d5977j 7 18 dimensional dimensional ADJ js956d5977j 7 19 ( ( PUNCT js956d5977j 7 20 a a DET js956d5977j 7 21 set set NOUN js956d5977j 7 22 of of ADP js956d5977j 7 23 j-1 j-1 NOUN js956d5977j 7 24 ) ) PUNCT js956d5977j 7 25 permutors permutor NOUN js956d5977j 7 26 and and CCONJ js956d5977j 7 27 used use VERB js956d5977j 7 28 as as ADP js956d5977j 7 29 a a DET js956d5977j 7 30 general general ADJ js956d5977j 7 31 design design NOUN js956d5977j 7 32 metric metric NOUN js956d5977j 7 33 . . PUNCT js956d5977j 8 1 a a DET js956d5977j 8 2 sphere sphere NOUN js956d5977j 8 3 packing packing NOUN js956d5977j 8 4 upper upper ADV js956d5977j 8 5 bound bind VERB js956d5977j 8 6 on on ADP js956d5977j 8 7 the the DET js956d5977j 8 8 minimum minimum ADJ js956d5977j 8 9 length-2 length-2 NOUN js956d5977j 8 10 summary summary NOUN js956d5977j 8 11 distance distance NOUN js956d5977j 8 12 ( ( PUNCT js956d5977j 8 13 spread spread VERB js956d5977j 8 14 ) ) PUNCT js956d5977j 8 15 of of ADP js956d5977j 8 16 j j SPACE js956d5977j 8 17 - - PUNCT js956d5977j 8 18 dimensional dimensional ADJ js956d5977j 8 19 permutors permutor NOUN js956d5977j 8 20 is be AUX js956d5977j 8 21 derived derive VERB js956d5977j 8 22 . . PUNCT js956d5977j 9 1 we we PRON js956d5977j 9 2 derive derive VERB js956d5977j 9 3 a a DET js956d5977j 9 4 lower lower ADV js956d5977j 9 5 bound bind VERB js956d5977j 9 6 on on ADP js956d5977j 9 7 the the DET js956d5977j 9 8 minimum minimum ADJ js956d5977j 9 9 summary summary NOUN js956d5977j 9 10 distance distance NOUN js956d5977j 9 11 in in ADP js956d5977j 9 12 the the DET js956d5977j 9 13 ensemble ensemble NOUN js956d5977j 9 14 of of ADP js956d5977j 9 15 random random ADJ js956d5977j 9 16 permutors permutor NOUN js956d5977j 9 17 . . PUNCT js956d5977j 10 1 furthermore furthermore ADV js956d5977j 10 2 , , PUNCT js956d5977j 10 3 we we PRON js956d5977j 10 4 show show VERB js956d5977j 10 5 that that SCONJ js956d5977j 10 6 this this DET js956d5977j 10 7 lower lower ADV js956d5977j 10 8 bound bind VERB js956d5977j 10 9 can can AUX js956d5977j 10 10 be be AUX js956d5977j 10 11 improved improve VERB js956d5977j 10 12 by by ADP js956d5977j 10 13 expurgating expurgate VERB js956d5977j 10 14 the the DET js956d5977j 10 15 ' ' PUNCT js956d5977j 10 16 bad bad ADJ js956d5977j 10 17 ' ' PUNCT js956d5977j 10 18 symbols symbol NOUN js956d5977j 10 19 that that PRON js956d5977j 10 20 are be AUX js956d5977j 10 21 associated associate VERB js956d5977j 10 22 with with ADP js956d5977j 10 23 small small ADJ js956d5977j 10 24 summary summary NOUN js956d5977j 10 25 distances distance NOUN js956d5977j 10 26 . . PUNCT js956d5977j 11 1 two two NUM js956d5977j 11 2 joint joint ADJ js956d5977j 11 3 permutor permutor NOUN js956d5977j 11 4 construction construction NOUN js956d5977j 11 5 algorithms algorithm NOUN js956d5977j 11 6 are be AUX js956d5977j 11 7 then then ADV js956d5977j 11 8 presented present VERB js956d5977j 11 9 , , PUNCT js956d5977j 11 10 one one NUM js956d5977j 11 11 for for ADP js956d5977j 11 12 random random ADJ js956d5977j 11 13 permutors permutor NOUN js956d5977j 11 14 and and CCONJ js956d5977j 11 15 another another PRON js956d5977j 11 16 for for ADP js956d5977j 11 17 linear linear ADJ js956d5977j 11 18 permutors permutor NOUN js956d5977j 11 19 . . PUNCT js956d5977j 12 1 the the DET js956d5977j 12 2 success success NOUN js956d5977j 12 3 probability probability NOUN js956d5977j 12 4 of of ADP js956d5977j 12 5 the the DET js956d5977j 12 6 random random ADJ js956d5977j 12 7 construction construction NOUN js956d5977j 12 8 algorithm algorithm PROPN js956d5977j 12 9 is be AUX js956d5977j 12 10 estimated estimate VERB js956d5977j 12 11 and and CCONJ js956d5977j 12 12 a a DET js956d5977j 12 13 modified modify VERB js956d5977j 12 14 version version NOUN js956d5977j 12 15 of of ADP js956d5977j 12 16 the the DET js956d5977j 12 17 algorithm algorithm PROPN js956d5977j 12 18 is be AUX js956d5977j 12 19 presented present VERB js956d5977j 12 20 that that PRON js956d5977j 12 21 takes take VERB js956d5977j 12 22 the the DET js956d5977j 12 23 constituent constituent NOUN js956d5977j 12 24 encoder encoder NOUN js956d5977j 12 25 period period NOUN js956d5977j 12 26 into into ADP js956d5977j 12 27 account account NOUN js956d5977j 12 28 . . PUNCT js956d5977j 13 1 a a DET js956d5977j 13 2 constructive constructive ADJ js956d5977j 13 3 proof proof NOUN js956d5977j 13 4 is be AUX js956d5977j 13 5 given give VERB js956d5977j 13 6 showing show VERB js956d5977j 13 7 the the DET js956d5977j 13 8 existence existence NOUN js956d5977j 13 9 of of ADP js956d5977j 13 10 j j X js956d5977j 13 11 - - PUNCT js956d5977j 13 12 dimensional dimensional ADJ js956d5977j 13 13 linear linear ADJ js956d5977j 13 14 permutors permutor NOUN js956d5977j 13 15 with with ADP js956d5977j 13 16 optimal optimal ADJ js956d5977j 13 17 spread spread NOUN js956d5977j 13 18 . . PUNCT js956d5977j 14 1 it it PRON js956d5977j 14 2 is be AUX js956d5977j 14 3 also also ADV js956d5977j 14 4 shown show VERB js956d5977j 14 5 that that SCONJ js956d5977j 14 6 the the DET js956d5977j 14 7 minimum minimum ADJ js956d5977j 14 8 length-4 length-4 NUM js956d5977j 14 9 summary summary NOUN js956d5977j 14 10 distance distance NOUN js956d5977j 14 11 of of ADP js956d5977j 14 12 a a DET js956d5977j 14 13 single single ADJ js956d5977j 14 14 linear linear ADJ js956d5977j 14 15 permutor permutor NOUN js956d5977j 14 16 is be AUX js956d5977j 14 17 greatly greatly ADV js956d5977j 14 18 improved improve VERB js956d5977j 14 19 in in ADP js956d5977j 14 20 the the DET js956d5977j 14 21 case case NOUN js956d5977j 14 22 of of ADP js956d5977j 14 23 multiple multiple ADJ js956d5977j 14 24 linear linear ADJ js956d5977j 14 25 permutors permutor NOUN js956d5977j 14 26 . . PUNCT js956d5977j 15 1 a a DET js956d5977j 15 2 computer computer NOUN js956d5977j 15 3 search search NOUN js956d5977j 15 4 for for ADP js956d5977j 15 5 short short ADJ js956d5977j 15 6 linear linear ADJ js956d5977j 15 7 permutors permutor NOUN js956d5977j 15 8 that that PRON js956d5977j 15 9 result result VERB js956d5977j 15 10 in in ADP js956d5977j 15 11 large large ADJ js956d5977j 15 12 minimum minimum ADJ js956d5977j 15 13 distances distance NOUN js956d5977j 15 14 for for ADP js956d5977j 15 15 multiple multiple ADJ js956d5977j 15 16 turbo turbo NOUN js956d5977j 15 17 codes code NOUN js956d5977j 15 18 is be AUX js956d5977j 15 19 performed perform VERB js956d5977j 15 20 . . PUNCT js956d5977j 16 1 compared compare VERB js956d5977j 16 2 to to ADP js956d5977j 16 3 conventional conventional ADJ js956d5977j 16 4 turbo turbo NOUN js956d5977j 16 5 codes code NOUN js956d5977j 16 6 using use VERB js956d5977j 16 7 the the DET js956d5977j 16 8 best good ADJ js956d5977j 16 9 drp drp NOUN js956d5977j 16 10 permutors permutor NOUN js956d5977j 16 11 , , PUNCT js956d5977j 16 12 significant significant ADJ js956d5977j 16 13 improvement improvement NOUN js956d5977j 16 14 has have AUX js956d5977j 16 15 been be AUX js956d5977j 16 16 achieved achieve VERB js956d5977j 16 17 by by ADP js956d5977j 16 18 using use VERB js956d5977j 16 19 multiple multiple ADJ js956d5977j 16 20 turbo turbo NOUN js956d5977j 16 21 codes code NOUN js956d5977j 16 22 with with ADP js956d5977j 16 23 linear linear ADJ js956d5977j 16 24 permutors permutor NOUN js956d5977j 16 25 . . PUNCT