Information on Result #611713

Linear OA(381, 59050, F3, 13) (dual of [59050, 58969, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)

Mode: Constructive and linear.

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(380, 59049, F3, 12) (dual of [59049, 58969, 13]-code) [i]Truncation
2Linear OA(387, 59057, F3, 13) (dual of [59057, 58970, 14]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3102, 59071, F3, 15) (dual of [59071, 58969, 16]-code) [i]✔
4Linear OA(384, 59054, F3, 13) (dual of [59054, 58970, 14]-code) [i]✔
5Linear OA(385, 59060, F3, 13) (dual of [59060, 58975, 14]-code) [i]✔
6Linear OA(386, 59070, F3, 13) (dual of [59070, 58984, 14]-code) [i]✔
7Linear OA(387, 59076, F3, 13) (dual of [59076, 58989, 14]-code) [i]✔
8Linear OA(383, 59054, F3, 12) (dual of [59054, 58971, 13]-code) [i]✔
9Linear OA(384, 59063, F3, 12) (dual of [59063, 58979, 13]-code) [i]✔
10Linear OA(385, 59074, F3, 12) (dual of [59074, 58989, 13]-code) [i]✔
11Linear OA(3131, 59086, F3, 19) (dual of [59086, 58955, 20]-code) [i]✔
12Linear OA(3132, 59091, F3, 19) (dual of [59091, 58959, 20]-code) [i]✔
13Linear OA(3129, 59091, F3, 18) (dual of [59091, 58962, 19]-code) [i]✔
14Linear OA(3130, 59099, F3, 18) (dual of [59099, 58969, 19]-code) [i]✔
15Linear OA(3132, 59101, F3, 19) (dual of [59101, 58969, 20]-code) [i]✔
16Linear OA(3102, 59072, F3, 15) (dual of [59072, 58970, 16]-code) [i]✔Construction X4 with Cyclic Codes
17Linear OOA(381, 29525, F3, 2, 13) (dual of [(29525, 2), 58969, 14]-NRT-code) [i]OOA Folding
18Linear OOA(381, 11810, F3, 5, 13) (dual of [(11810, 5), 58969, 14]-NRT-code) [i]