Information on Result #693691
Linear OA(2590, 15672, F25, 27) (dual of [15672, 15582, 28]-code), using construction X applied to Ce(26) ⊂ Ce(14) based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2514, 47, F25, 11) (dual of [47, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2514, 52, F25, 11) (dual of [52, 38, 12]-code), using
- extended algebraic-geometric code AGe(F,40P) [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(2514, 52, F25, 11) (dual of [52, 38, 12]-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(2590, 7836, F25, 2, 27) (dual of [(7836, 2), 15582, 28]-NRT-code) | [i] | OOA Folding | |