Information on Result #1822229
OA(12878, 65688, S128, 28), using (u, u+v)-construction based on
- linear OA(12815, 150, F128, 14) (dual of [150, 135, 15]-code), using
- extended algebraic-geometric code AGe(F,135P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- OA(12863, 65538, S128, 28), using
- discarding parts of the base [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- discarding parts of the base [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
Mode: Constructive.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12878, 32844, S128, 2, 28) | [i] | OOA Folding | |
| 2 | OOA(12878, 21896, S128, 3, 28) | [i] | ||