Information on Result #685814

Linear OA(740, 48, F7, 32) (dual of [48, 8, 33]-code), using contraction based on linear OA(788, 96, F7, 65) (dual of [96, 8, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,63], and minimum distance d ≥ |{−1,0,…,63}|+1 = 66 (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(786, 92, F7, 65) (dual of [92, 6, 66]-code) [i]Repeating Each Code Word
2Linear OA(785, 90, F7, 65) (dual of [90, 5, 66]-code) [i]
3Linear OA(797, 104, F7, 73) (dual of [104, 7, 74]-code) [i]Juxtaposition
4Linear OA(744, 54, F7, 32) (dual of [54, 10, 33]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(744, 52, F7, 34) (dual of [52, 8, 35]-code) [i]✔
6Linear OA(741, 53, F7, 28) (dual of [53, 12, 29]-code) [i]✔
7Linear OA(745, 56, F7, 32) (dual of [56, 11, 33]-code) [i]✔
8Linear OA(746, 58, F7, 32) (dual of [58, 12, 33]-code) [i]✔
9Linear OA(744, 56, F7, 31) (dual of [56, 12, 32]-code) [i]✔
10Linear OA(754, 62, F7, 40) (dual of [62, 8, 41]-code) [i]✔
11Linear OA(751, 59, F7, 38) (dual of [59, 8, 39]-code) [i]✔
12Linear OA(748, 56, F7, 36) (dual of [56, 8, 37]-code) [i]✔
13Linear OA(748, 62, F7, 32) (dual of [62, 14, 33]-code) [i]✔
14Linear OA(746, 59, F7, 31) (dual of [59, 13, 32]-code) [i]✔
15Linear OA(745, 59, F7, 30) (dual of [59, 14, 31]-code) [i]✔
16Linear OA(743, 56, F7, 29) (dual of [56, 13, 30]-code) [i]✔
17Linear OA(742, 56, F7, 28) (dual of [56, 14, 29]-code) [i]✔
18Linear OA(756, 64, F7, 41) (dual of [64, 8, 42]-code) [i]✔
19Linear OA(749, 64, F7, 32) (dual of [64, 15, 33]-code) [i]✔
20Linear OA(744, 59, F7, 28) (dual of [59, 15, 29]-code) [i]✔
21Linear OA(756, 65, F7, 41) (dual of [65, 9, 42]-code) [i]✔Construction XX with Cyclic Codes
22Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) [i]✔
23Linear OA(744, 53, F7, 34) (dual of [53, 9, 35]-code) [i]✔
24Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) [i]✔
25Linear OA(748, 63, F7, 32) (dual of [63, 15, 33]-code) [i]✔
26Linear OA(745, 60, F7, 30) (dual of [60, 15, 31]-code) [i]✔
27Linear OA(742, 57, F7, 28) (dual of [57, 15, 29]-code) [i]✔
28Linear OA(746, 59, F7, 32) (dual of [59, 13, 33]-code) [i]✔
29Linear OA(744, 57, F7, 31) (dual of [57, 13, 32]-code) [i]✔
30Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) [i]✔
31Linear OA(744, 55, F7, 32) (dual of [55, 11, 33]-code) [i]✔
32Linear OA(747, 62, F7, 32) (dual of [62, 15, 33]-code) [i]✔
33Linear OA(752, 60, F7, 39) (dual of [60, 8, 40]-code) [i]✔Construction XX with a Chain of Cyclic Codes
34Linear OA(749, 57, F7, 37) (dual of [57, 8, 38]-code) [i]✔
35Linear OA(760, 70, F7, 40) (dual of [70, 10, 41]-code) [i]✔
36Linear OA(747, 60, F7, 32) (dual of [60, 13, 33]-code) [i]✔
37Linear OA(744, 57, F7, 30) (dual of [57, 13, 31]-code) [i]✔
38Linear OA(745, 60, F7, 29) (dual of [60, 15, 30]-code) [i]✔
39Linear OA(757, 66, F7, 41) (dual of [66, 9, 42]-code) [i]✔
40Linear OOA(740, 24, F7, 2, 32) (dual of [(24, 2), 8, 33]-NRT-code) [i]OOA Folding
41Linear OOA(740, 16, F7, 3, 32) (dual of [(16, 3), 8, 33]-NRT-code) [i]