Information on Result #615680

Linear OA(932, 81, F9, 20) (dual of [81, 49, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(932, 81, F9, 19) (dual of [81, 49, 20]-code) [i]Strength Reduction
2Linear OA(364, 162, F3, 20) (dual of [162, 98, 21]-code) [i]Trace Code
3Linear OA(939, 102, F9, 20) (dual of [102, 63, 21]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(934, 85, F9, 20) (dual of [85, 51, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(936, 85, F9, 22) (dual of [85, 49, 23]-code) [i]✔
6Linear OA(935, 88, F9, 20) (dual of [88, 53, 21]-code) [i]✔
7Linear OA(936, 91, F9, 20) (dual of [91, 55, 21]-code) [i]✔
8Linear OA(942, 91, F9, 24) (dual of [91, 49, 25]-code) [i]✔
9Linear OA(938, 95, F9, 20) (dual of [95, 57, 21]-code) [i]✔
10Linear OA(935, 91, F9, 18) (dual of [91, 56, 19]-code) [i]✔
11Linear OA(939, 98, F9, 20) (dual of [98, 59, 21]-code) [i]✔
12Linear OA(950, 99, F9, 26) (dual of [99, 49, 27]-code) [i]✔
13Linear OA(957, 106, F9, 30) (dual of [106, 49, 31]-code) [i]✔
14Linear OA(959, 108, F9, 31) (dual of [108, 49, 32]-code) [i]✔
15Linear OA(963, 112, F9, 32) (dual of [112, 49, 33]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(949, 98, F9, 26) (dual of [98, 49, 27]-code) [i]✔
17Linear OA(942, 92, F9, 23) (dual of [92, 50, 24]-code) [i]✔
18Linear OA(936, 92, F9, 19) (dual of [92, 56, 20]-code) [i]✔
19Linear OA(954, 103, F9, 28) (dual of [103, 49, 29]-code) [i]✔
20Linear OOA(932, 27, F9, 3, 20) (dual of [(27, 3), 49, 21]-NRT-code) [i]OOA Folding