Information on Result #684347

Linear OA(517, 24, F5, 13) (dual of [24, 7, 14]-code), using contraction based on linear OA(589, 96, F5, 55) (dual of [96, 7, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [0,51], and minimum distance d ≥ |{−3,−2,…,51}|+1 = 56 (BCH-bound) [i]

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

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Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(540, 46, F5, 27) (dual of [46, 6, 28]-code) [i]Repeating Each Code Word
2Linear OA(539, 44, F5, 27) (dual of [44, 5, 28]-code) [i]
3Linear OA(561, 66, F5, 41) (dual of [66, 5, 42]-code) [i]
4Linear OA(519, 26, F5, 14) (dual of [26, 7, 15]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(528, 35, F5, 19) (dual of [35, 7, 20]-code) [i]✔
6Linear OA(528, 36, F5, 19) (dual of [36, 8, 20]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(526, 34, F5, 18) (dual of [34, 8, 19]-code) [i]✔
8Linear OA(523, 31, F5, 16) (dual of [31, 8, 17]-code) [i]✔
9Linear OA(519, 27, F5, 14) (dual of [27, 8, 15]-code) [i]✔
10Linear OA(529, 37, F5, 19) (dual of [37, 8, 20]-code) [i]✔Construction XX with a Chain of Cyclic Codes
11Linear OA(523, 31, F5, 15) (dual of [31, 8, 16]-code) [i]✔
12Linear OA(5115, 148, F5, 62) (dual of [148, 33, 63]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(5117, 148, F5, 63) (dual of [148, 31, 64]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(5116, 150, F5, 62) (dual of [150, 34, 63]-code) [i]