Information on Result #732642
Linear OA(25109, 390695, F25, 24) (dual of [390695, 390586, 25]-code), using (u, u+v)-construction based on
- linear OA(2516, 66, F25, 12) (dual of [66, 50, 13]-code), using
- extended algebraic-geometric code AGe(F,53P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2593, 390625, F25, 24) (dual of [390625, 390532, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25109, 195347, F25, 2, 24) (dual of [(195347, 2), 390585, 25]-NRT-code) | [i] | OOA Folding | |