Information on Result #693671
Linear OA(2566, 15663, F25, 19) (dual of [15663, 15597, 20]-code), using construction X applied to Ce(18) ⊂ Ce(9) based on
- linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2511, 38, F25, 8) (dual of [38, 27, 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(2566, 7831, F25, 2, 19) (dual of [(7831, 2), 15596, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2566, 1740, F25, 19, 19) (dual of [(1740, 19), 32994, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |