Information on Result #734932
Linear OA(6458, 4204, F64, 22) (dual of [4204, 4146, 23]-code), using (u, u+v)-construction based on
- linear OA(6415, 106, F64, 11) (dual of [106, 91, 12]-code), using
- construction X applied to AG(F,91P) ⊂ AG(F,93P) [i] based on
- linear OA(6414, 103, F64, 11) (dual of [103, 89, 12]-code), using algebraic-geometric code AG(F,91P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6412, 103, F64, 9) (dual of [103, 91, 10]-code), using algebraic-geometric code AG(F,93P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104 (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,91P) ⊂ AG(F,93P) [i] based on
- linear OA(6443, 4098, F64, 22) (dual of [4098, 4055, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [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(6458, 2102, F64, 2, 22) (dual of [(2102, 2), 4146, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6458, 1401, F64, 3, 22) (dual of [(1401, 3), 4145, 23]-NRT-code) | [i] | ||