Information on Result #735081
Linear OA(6436, 4180, F64, 14) (dual of [4180, 4144, 15]-code), using (u, u+v)-construction based on
- linear OA(649, 82, F64, 7) (dual of [82, 73, 8]-code), using
- construction X applied to AG(F,71P) ⊂ AG(F,73P) [i] based on
- linear OA(648, 79, F64, 7) (dual of [79, 71, 8]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(646, 79, F64, 5) (dual of [79, 73, 6]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,71P) ⊂ AG(F,73P) [i] based on
- linear OA(6427, 4098, F64, 14) (dual of [4098, 4071, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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(6436, 2090, F64, 2, 14) (dual of [(2090, 2), 4144, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6436, 1393, F64, 3, 14) (dual of [(1393, 3), 4143, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(6436, 597, F64, 14, 14) (dual of [(597, 14), 8322, 15]-NRT-code) | [i] | OA Folding and Stacking | |