New Binary [ 70 , 35 , 12 ] Self-Dual and Binary [ 72 , 36 , 12 ] Self-Dual Doubly-Even Codes

Dontcheva, Radinka

Serdica Mathematical Journal (2001)

  • Volume: 27, Issue: 4, page 287-302
  • ISSN: 1310-6600

Abstract

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∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99In this paper we prove that up to equivalence there exist 158 binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even codes all of which have an automorphism of order 23 and we present their construction. All these codes are new.

How to cite

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Dontcheva, Radinka. "New Binary $[70,35,12]$ Self-Dual and Binary $[72,36,12]$ Self-Dual Doubly-Even Codes." Serdica Mathematical Journal 27.4 (2001): 287-302. <http://eudml.org/doc/11541>.

@article{Dontcheva2001,
abstract = {∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99In this paper we prove that up to equivalence there exist 158 binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even codes all of which have an automorphism of order 23 and we present their construction. All these codes are new.},
author = {Dontcheva, Radinka},
journal = {Serdica Mathematical Journal},
keywords = {Automorphisms; Self-Dual Codes; Weight Enumerators; binary self-dual codes},
language = {eng},
number = {4},
pages = {287-302},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {New Binary $[70,35,12]$ Self-Dual and Binary $[72,36,12]$ Self-Dual Doubly-Even Codes},
url = {http://eudml.org/doc/11541},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Dontcheva, Radinka
TI - New Binary $[70,35,12]$ Self-Dual and Binary $[72,36,12]$ Self-Dual Doubly-Even Codes
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 4
SP - 287
EP - 302
AB - ∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99In this paper we prove that up to equivalence there exist 158 binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even codes all of which have an automorphism of order 23 and we present their construction. All these codes are new.
LA - eng
KW - Automorphisms; Self-Dual Codes; Weight Enumerators; binary self-dual codes
UR - http://eudml.org/doc/11541
ER -

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