Information on Result #693640
Linear OA(25102, 15660, F25, 32) (dual of [15660, 15558, 33]-code), using construction X applied to Ce(31) ⊂ Ce(22) based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2511, 35, F25, 8) (dual of [35, 24, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2511, 52, F25, 8) (dual of [52, 41, 9]-code), using
- extended algebraic-geometric code AGe(F,43P) [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(2511, 52, F25, 8) (dual of [52, 41, 9]-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(25102, 7830, F25, 2, 32) (dual of [(7830, 2), 15558, 33]-NRT-code) | [i] | OOA Folding | |