Information on Result #732895
Linear OA(2563, 390681, F25, 14) (dual of [390681, 390618, 15]-code), using (u, u+v)-construction based on
- linear OA(2510, 52, F25, 7) (dual of [52, 42, 8]-code), using
- extended algebraic-geometric code AGe(F,44P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OA(2553, 390629, F25, 14) (dual of [390629, 390576, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2549, 390625, F25, 13) (dual of [390625, 390576, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [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(2563, 195340, F25, 2, 14) (dual of [(195340, 2), 390617, 15]-NRT-code) | [i] | OOA Folding | |