Proceedings ITCC 2003. International Conference on Information Technology: Coding and Computing
DOI: 10.1109/itcc.2003.1197530
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A note on covering radius of MacDonald codes

Abstract: In this paper we determine an upper bound for the covering radius of a q-ary MacDonald code Ù´Õ µ. Values of Ò Õ´ µ, the minimal length of a 4-dimensional q-ary code with minimum distance d is obtained for Õ ¾ ½ and Õ ¾ ¾. These are used to determine the covering radius of ¿ ½´Õ µ, ¿ ¾´Õ µ and ¾´Õ µ.

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Cited by 4 publications
(3 citation statements)
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“…Given fixed length n and dimension k, we only consider [n, k, d] 4 -codes C with maximal possible value for the minimum distances of their duals. For example, among 12 selforthogonal [10,4,4] 4 -codes, there are 4 distinct codes with d ⊥ H = 3 while the remaining 8 codes have d ⊥ H = 2. We take only the first 4 codes.…”
Section: Construction From Extremal or Optimal Additive Self-dual Codes Over Fmentioning
confidence: 99%
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“…Given fixed length n and dimension k, we only consider [n, k, d] 4 -codes C with maximal possible value for the minimum distances of their duals. For example, among 12 selforthogonal [10,4,4] 4 -codes, there are 4 distinct codes with d ⊥ H = 3 while the remaining 8 codes have d ⊥ H = 2. We take only the first 4 codes.…”
Section: Construction From Extremal or Optimal Additive Self-dual Codes Over Fmentioning
confidence: 99%
“…The MacDonald codes are linear codes with parameters [(q k − q u )/(q −1), k, q k−1 −q u−1 ] q . Some historical background and a construction of their generator matrices can be found in [4]. It is known that these codes are two-weight codes.…”
Section: Construction From Extremal or Optimal Additive Self-dual Codes Over Fmentioning
confidence: 99%
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