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by Steven T. Dougherty, Manish K. Gupta Member Ieee, Keisuke Shiromoto, Keisuke Shiromoto
http://www.public.asu.edu/~mkgupta/public_html/home/doc/my_papers/GLWfinal.ps
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Abstract:
We generalize the definition for higher weights for codes over rings and define weight enumerators corresponding to these weights. We give bounds for these weights and provide MacWilliams relations for the weight enumerators. We determine these weights for some codes over Z 4.
Citations
|
1287
|
The Theory of Error-Correcting Codes
– MacWilliams, Sloane
- 1978
|
|
57
|
Generalized Hamming Weights for Linear Codes
– Wei
- 1991
|
|
44
|
The -linearity of Kerdock, Preparata, Goethals, and related codes
– Hammons, Kumar, et al.
- 1994
|
|
26
|
Geometric approach to higher weights
– Tsfasman, Vladut
- 1995
|
|
18
|
The weight distribution of irreducible cyclic codes with block lengths n 1 ((q l \Gamma 1)=N
– Helleseth, Klve, et al.
- 1977
|
|
8
|
On generalized Hamming weights for Galois ring linear codes
– Ashikhmin
- 1998
|
|
6
|
Supports of a code
– Bassalygo
- 1995
|
|
6
|
On the weight hierarchy of Kerdock codes over Z 4
– Yang, Helleseth, et al.
- 1996
|
|
5
|
Finite rings with identity, Pure and
– McDonald
- 1974
|
|
4
|
Support weight distributions of linear codes
– Klve
- 1992
|
|
4
|
Optimal self-dual codes over Z 4
– Rains
- 1999
|
|
3
|
On Z 4 simplex codes and their gray images
– Bhandari, Gupta, et al.
- 1999
|
|
3
|
Further results on generalized Hamming weights for Goethals and Preparata codes over Z 4
– Helleseth, Hove, et al.
- 1999
|
|
2
|
On the weight hierarchy of Preparata codes over Z 4
– Yang, Helleseth
- 1997
|
|
2
|
A Griesmer bound for codes over finite quasi-Frobenius rings, Discrete Applied Math
– Shiromoto, Storme
|
|
1
|
MacWilliams relations for Codes over Groups and
– Dougherty
|
|
1
|
MacWilliams relations for joint weight enumerators over rings
– Dougherty
|
|
1
|
Note on the Biweight Enumerators of SelfDual Codes over Z k ," submitted
– Dougherty, Harada, et al.
- 1999
|
|
1
|
Maximum distance codes over rings of order 4
– Dougherty, Shiromoto
- 2001
|
|
1
|
MDR Codes over Z k
– Dougherty, Shiromoto
- 2000
|
|
1
|
On generalized Hamming weights for codes over finite chain rings
– Horimoto, Shiromoto
|
|
1
|
Generalized Lee weights for codes over Z 4
– Hove
- 1997
|
|
1
|
A basic exact sequence for the Lee and Euclidean weights of linear codes over Z
– Shiromoto
- 1999
|