Information on Result #732578
Linear OA(2568, 696, F25, 26) (dual of [696, 628, 27]-code), using (u, u+v)-construction based on
- linear OA(2518, 68, F25, 13) (dual of [68, 50, 14]-code), using
- construction X applied to AG(F,51P) ⊂ AG(F,53P) [i] based on
- linear OA(2517, 65, F25, 13) (dual of [65, 48, 14]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2515, 65, F25, 11) (dual of [65, 50, 12]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,51P) ⊂ AG(F,53P) [i] based on
- linear OA(2550, 628, F25, 26) (dual of [628, 578, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2547, 625, F25, 24) (dual of [625, 578, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code) (see above)
- construction X applied to Ce(25) ⊂ Ce(23) [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(2568, 348, F25, 2, 26) (dual of [(348, 2), 628, 27]-NRT-code) | [i] | OOA Folding | |