Information on Result #735111
Linear OA(6441, 262227, F64, 12) (dual of [262227, 262186, 13]-code), using (u, u+v)-construction based on
- linear OA(647, 80, F64, 6) (dual of [80, 73, 7]-code), using
- extended algebraic-geometric code AGe(F,73P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6434, 262147, F64, 12) (dual of [262147, 262113, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [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(6441, 131113, F64, 2, 12) (dual of [(131113, 2), 262185, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6441, 87409, F64, 3, 12) (dual of [(87409, 3), 262186, 13]-NRT-code) | [i] | ||