Information on Result #735086
Linear OA(6448, 262227, F64, 14) (dual of [262227, 262179, 15]-code), using (u, u+v)-construction based on
- linear OA(648, 80, F64, 7) (dual of [80, 72, 8]-code), using
- extended algebraic-geometric code AGe(F,72P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6440, 262147, F64, 14) (dual of [262147, 262107, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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(6448, 131113, F64, 2, 14) (dual of [(131113, 2), 262178, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6448, 87409, F64, 3, 14) (dual of [(87409, 3), 262179, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(6448, 37461, F64, 14, 14) (dual of [(37461, 14), 524406, 15]-NRT-code) | [i] | OA Folding and Stacking | |