Information on Result #693683
Linear OA(2576, 15667, F25, 22) (dual of [15667, 15591, 23]-code), using construction X applied to Ce(21) ⊂ Ce(11) based on
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2512, 42, F25, 9) (dual of [42, 30, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2512, 52, F25, 9) (dual of [52, 40, 10]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2512, 52, F25, 9) (dual of [52, 40, 10]-code), using
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(2576, 7833, F25, 2, 22) (dual of [(7833, 2), 15590, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2576, 1424, F25, 22, 22) (dual of [(1424, 22), 31252, 23]-NRT-code) | [i] | OA Folding and Stacking | |