Information on Result #615749

Linear OA(941, 82, F9, 25) (dual of [82, 41, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3246, 328, F3, 77) (dual of [328, 82, 78]-code) [i]Concatenation of Two Codes
2Linear OA(952, 94, F9, 25) (dual of [94, 42, 26]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(946, 87, F9, 27) (dual of [87, 41, 28]-code) [i]✔
4Linear OA(942, 87, F9, 25) (dual of [87, 45, 26]-code) [i]✔
5Linear OA(952, 92, F9, 29) (dual of [92, 40, 30]-code) [i]✔
6Linear OA(953, 94, F9, 29) (dual of [94, 41, 30]-code) [i]✔
7Linear OA(951, 92, F9, 28) (dual of [92, 41, 29]-code) [i]✔
8Linear OA(944, 92, F9, 25) (dual of [92, 48, 26]-code) [i]✔
9Linear OA(945, 94, F9, 25) (dual of [94, 49, 26]-code) [i]✔
10Linear OA(943, 92, F9, 24) (dual of [92, 49, 25]-code) [i]✔
11Linear OA(959, 98, F9, 31) (dual of [98, 39, 32]-code) [i]✔
12Linear OA(960, 101, F9, 31) (dual of [101, 41, 32]-code) [i]✔
13Linear OA(958, 98, F9, 30) (dual of [98, 40, 31]-code) [i]✔
14Linear OA(978, 117, F9, 41) (dual of [117, 39, 42]-code) [i]✔
15Linear OA(980, 121, F9, 41) (dual of [121, 41, 42]-code) [i]✔
16Linear OA(976, 114, F9, 40) (dual of [114, 38, 41]-code) [i]✔
17Linear OA(978, 118, F9, 40) (dual of [118, 40, 41]-code) [i]✔
18Linear OA(974, 112, F9, 39) (dual of [112, 38, 40]-code) [i]✔
19Linear OA(975, 114, F9, 39) (dual of [114, 39, 40]-code) [i]✔
20Linear OA(976, 117, F9, 39) (dual of [117, 41, 40]-code) [i]✔
21Linear OA(972, 110, F9, 38) (dual of [110, 38, 39]-code) [i]✔
22Linear OA(973, 112, F9, 38) (dual of [112, 39, 39]-code) [i]✔
23Linear OA(974, 114, F9, 38) (dual of [114, 40, 39]-code) [i]✔
24Linear OA(971, 110, F9, 37) (dual of [110, 39, 38]-code) [i]✔
25Linear OA(972, 112, F9, 37) (dual of [112, 40, 38]-code) [i]✔
26Linear OA(973, 114, F9, 37) (dual of [114, 41, 38]-code) [i]✔
27Linear OA(970, 110, F9, 36) (dual of [110, 40, 37]-code) [i]✔
28Linear OA(971, 112, F9, 36) (dual of [112, 41, 37]-code) [i]✔
29Linear OA(969, 110, F9, 35) (dual of [110, 41, 36]-code) [i]✔
30Linear OA(976, 115, F9, 40) (dual of [115, 39, 41]-code) [i]✔Construction XX with a Chain of Cyclic Codes
31Linear OA(974, 113, F9, 39) (dual of [113, 39, 40]-code) [i]✔
32Linear OA(976, 114, F9, 41) (dual of [114, 38, 42]-code) [i]✔
33Linear OA(974, 112, F9, 40) (dual of [112, 38, 41]-code) [i]✔