On the Complete Weight Enumerator of Reed-Solomon Codes

Ian F. Blake; Khun Kith

doi:10.1137/0404016

On the Complete Weight Enumerator of Reed-Solomon Codes

SIAM Journal on Discrete Mathematics ◽

10.1137/0404016 ◽

1991 ◽

Vol 4 (2) ◽

pp. 164-171 ◽

Cited By ~ 32

Author(s):

Ian F. Blake ◽

Khun Kith

Keyword(s):

Weight Enumerator ◽

Complete Weight Enumerator ◽

Reed Solomon Codes

The Complete Weight Enumerator for Codes over M nxs(F q)

Cryptography and Coding - Lecture Notes in Computer Science ◽

10.1007/3-540-45325-3_3 ◽

2001 ◽

pp. 20-26 ◽

Cited By ~ 11

Author(s):

Irfan Siap

Keyword(s):

Weight Enumerator ◽

Complete Weight Enumerator

The complete weight enumerator for codes over Mn×s(R)

Applied Mathematics Letters ◽

10.1016/s0893-9659(04)90013-4 ◽

2004 ◽

Vol 17 (1) ◽

pp. 65-69 ◽

Cited By ~ 11

Author(s):

I. Siap ◽

M. Ozen

Keyword(s):

Weight Enumerator ◽

Complete Weight Enumerator

The average binary weight-enumerator for a class of generalized Reed-Solomon codes

IEEE Transactions on Information Theory ◽

10.1109/18.75251 ◽

1991 ◽

Vol 37 (2) ◽

pp. 346-349 ◽

Cited By ~ 14

Author(s):

C.T. Retter

Keyword(s):

Weight Enumerator ◽

Reed Solomon Codes ◽

Binary Weight

Generalized Krawtchouk polynomials and the complete weight enumerator of the dual code

Journal of Discrete Mathematical Sciences and Cryptography ◽

10.1080/09720529.2011.10698351 ◽

2011 ◽

Vol 14 (6) ◽

pp. 503-514 ◽

Cited By ~ 2

Author(s):

Bhu Dev Sharma ◽

Norris Sookoo

Keyword(s):

Dual Code ◽

Weight Enumerator ◽

Krawtchouk Polynomials ◽

Complete Weight Enumerator

Complete Weight Enumerator for a Class of Linear Codes from Defining Sets and Their Applications

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7414-3 ◽

2019 ◽

Vol 32 (3) ◽

pp. 947-969 ◽

Cited By ~ 1

Author(s):

Haibo Liu ◽

Qunying Liao ◽

Xiaofeng Wang

Keyword(s):

Linear Codes ◽

Weight Enumerator ◽

Complete Weight Enumerator ◽

Defining Sets

Complete weight enumerator of torsion codes

Advances in Mathematics of Communications ◽

10.3934/amc.2020124 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Xiangrui Meng ◽

◽

Jian Gao

Keyword(s):

Weight Enumerator ◽

Complete Weight Enumerator ◽

Torsion Codes

The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms

IEEE Transactions on Information Theory ◽

10.1109/18.904543 ◽

2001 ◽

Vol 47 (1) ◽

pp. 396-399 ◽

Cited By ~ 8

Author(s):

Young Ju Choie ◽

Namshik Kim

Keyword(s):

Weight Enumerator ◽

Type Ii ◽

Jacobi Forms ◽

Complete Weight Enumerator ◽

Type Ii Codes

Self-dual codes over the ring GR(pm,g) and Jacobi forms

Asian-European Journal of Mathematics ◽

10.1142/s1793557117500553 ◽

2017 ◽

Vol 10 (03) ◽

pp. 1750055 ◽

Cited By ~ 1

Author(s):

Ankur

Keyword(s):

Polynomial Ring ◽

Galois Ring ◽

The Self ◽

Weight Enumerator ◽

Invariant Polynomial ◽

Jacobi Forms ◽

Dual Codes ◽

Complete Weight Enumerator ◽

Weil Group ◽

The Relationship

We take a Galois ring [Formula: see text] and discuss about the self-dual codes and its properties over the ring. We will also describe the relationship between Clifford-Weil group and Jacobi forms by constructing the invariant polynomial ring with the complete weight enumerator.

MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.1496 ◽

2013 ◽

Vol E96.A (6) ◽

pp. 1496-1500

Author(s):

Jianzhang CHEN ◽

Wenguang LONG ◽

Bo FU

Keyword(s):

Linear Codes ◽

Finite Ring ◽

Weight Enumerator ◽

Type Identity

Selecting the Most Efficient Reed Solomon Codes to Eliminate Jamming

10.21236/ada389156 ◽

1999 ◽

Author(s):

Henderson Benjamin

Keyword(s):

Reed Solomon Codes