Information on Result #694571
Linear OA(25104, 688, F25, 42) (dual of [688, 584, 43]-code), using construction X applied to Ce(41) ⊂ Ce(20) based on
- linear OA(2580, 625, F25, 42) (dual of [625, 545, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2541, 625, F25, 21) (dual of [625, 584, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2524, 63, F25, 20) (dual of [63, 39, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2524, 65, F25, 20) (dual of [65, 41, 21]-code), using
- algebraic-geometric code AG(F,44P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- discarding factors / shortening the dual code based on linear OA(2524, 65, F25, 20) (dual of [65, 41, 21]-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(25104, 344, F25, 2, 42) (dual of [(344, 2), 584, 43]-NRT-code) | [i] | OOA Folding | |