ON THE WEIGHT HIERARCHY OF GOETHALS CODES OVER Z(4)
SCIE
SCOPUS
- Title
- ON THE WEIGHT HIERARCHY OF GOETHALS CODES OVER Z(4)
- Authors
- Yang, KC; Helleseth, T
- Date Issued
- 1998-01
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- The rth generalized Hamming weight d(r)(m,j) of the Goethals code g(m)(j) of length 2(m) over Z(4) is considered in this correspondence. Zn the case that m greater than or equal to 3 is an odd integer, d(r)(m,j) is exactly determined for r = 0.51 1, 1.5, 2, 2.5, and 3.0. For a composite m, we give an upper bound d(r)(m,j) using the lifting technique.
- Keywords
- generalized Hamming weights; Goethals codes; linear codes over Z(4); minimum support size; nonlinear code; Preparata codes; weight hierarchy; GENERALIZED HAMMING WEIGHTS; KERDOCK
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28821
- DOI
- 10.1109/18.651055
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 44, no. 1, page. 304 - 307, 1998-01
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