Information on Result #1303915
Linear OA(25108, 390656, F25, 27) (dual of [390656, 390548, 28]-code), using construction X applied to Ce(26) ⊂ Ce(19) based on
- linear OA(25101, 390625, F25, 27) (dual of [390625, 390524, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(257, 31, F25, 6) (dual of [31, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(257, 36, F25, 6) (dual of [36, 29, 7]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
- discarding factors / shortening the dual code based on linear OA(257, 36, F25, 6) (dual of [36, 29, 7]-code), using
Mode: 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(25108, 390656, F25, 2, 27) (dual of [(390656, 2), 781204, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (81, 108, 390656)-net over F25 | [i] | ||
| 3 | Linear OOA(25108, 195328, F25, 2, 27) (dual of [(195328, 2), 390548, 28]-NRT-code) | [i] | OOA Folding | |