Notes on Type II codes over finite rings

International Conference on Information Science and Technology ◽

10.1109/icist.2011.5765200 ◽

2011 ◽

Author(s):

Xiaoyan Zhang ◽

Hualu Liu ◽

Xiusheng Liu

Keyword(s):

Type Ii ◽

Finite Rings ◽

Type Ii Codes

Type II codes over finite rings

Science China Mathematics ◽

10.1007/s11425-009-0128-1 ◽

2009 ◽

Vol 53 (1) ◽

pp. 203-212 ◽

Cited By ~ 1

Author(s):

Steven T. Dougherty ◽

HongWei Liu

Keyword(s):

Type Ii ◽

Finite Rings ◽

Type Ii Codes

Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey)

Annales de l’institut Fourier ◽

10.5802/aif.1690 ◽

1999 ◽

Vol 49 (3) ◽

pp. 763-782 ◽

Cited By ~ 4

Author(s):

Eiichi Bannai

Keyword(s):

Abelian Groups ◽

Association Schemes ◽

Invariance Property ◽

Modular Invariance ◽

Type Ii ◽

Finite Abelian Groups ◽

Finite Rings ◽

Type Ii Codes

Type II Codes over IF2r

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - Lecture Notes in Computer Science ◽

10.1007/3-540-45624-4_11 ◽

2001 ◽

pp. 102-111 ◽

Cited By ~ 6

Author(s):

Koichi Betsumiya ◽

Masaaki Harada ◽

Akihiro Munemasa

Keyword(s):

Type Ii ◽

Type Ii Codes

Type II codes over Z/sub 4/

IEEE Transactions on Information Theory ◽

10.1109/18.568705 ◽

1997 ◽

Vol 43 (3) ◽

pp. 969-976 ◽

Cited By ~ 69

Author(s):

A. Bonnecaze ◽

P. Sole ◽

C. Bachoc ◽

B. Mourrain

Keyword(s):

Type Ii ◽

Type Ii Codes

EISENSTEIN POLYNOMIALS ASSOCIATED TO BINARY CODES

International Journal of Number Theory ◽

10.1142/s1793042109002298 ◽

2009 ◽

Vol 05 (04) ◽

pp. 635-640 ◽

Cited By ~ 2

Author(s):

MANABU OURA

Keyword(s):

Binary Codes ◽

Weighted Sum ◽

Type Ii ◽

Weight Enumerators ◽

Fixed Length ◽

Type Ii Codes ◽

Genus 2

The Eisenstein polynomial is the weighted sum of the weight enumerators of all classes of Type II codes of fixed length. In this note, we investigate the ring generated by Eisenstein polynomials in genus 2.

Type II Codes over $$\mathbb{Z}/2k\mathbb{Z}$$ , Invariant Rings and Theta Series

Designs Codes and Cryptography ◽

10.1007/s10623-004-1701-9 ◽

2005 ◽

Vol 36 (2) ◽

pp. 147-158

Author(s):

F. L. Chiera

Keyword(s):

Theta Series ◽

Type Ii ◽

Invariant Rings ◽

Type Ii Codes

A mass formula for Type II codes over finite fields of characteristic two

Codes and Designs - Ohio State University Mathematical Research Institute Publications ◽

10.1515/9783110198119.207 ◽

2002 ◽

Keyword(s):

Finite Fields ◽

Mass Formula ◽

Type Ii ◽

Type Ii Codes ◽

Characteristic Two

Niemeier lattices and Type II codes over Z4

Discrete Mathematics ◽

10.1016/s0012-365x(99)00032-1 ◽

1999 ◽

Vol 205 (1-3) ◽

pp. 1-21 ◽

Cited By ~ 5

Author(s):

Alexis Bonnecaze ◽

Philippe Gaborit ◽

Masaaki Harada ◽

Masaaki Kitazume ◽

Patrick Solé

Keyword(s):

Type Ii ◽

Type Ii Codes

Minimum Lee weights of Type II codes over F2r

Discrete Mathematics ◽

10.1016/j.disc.2007.08.026 ◽

2008 ◽

Vol 308 (14) ◽

pp. 3018-3022

Author(s):

Koichi Betsumiya

Keyword(s):

Type Ii ◽

Type Ii Codes ◽

Lee Weights

Type II codes, even unimodular lattices, and invariant rings

IEEE Transactions on Information Theory ◽

10.1109/18.761269 ◽

1999 ◽

Vol 45 (4) ◽

pp. 1194-1205 ◽

Cited By ~ 70

Author(s):

E. Bannai ◽

S.T. Dougherty ◽

M. Harada ◽

M. Oura

Keyword(s):

Type Ii ◽

Invariant Rings ◽

Type Ii Codes