Information on Result #735026
Linear OA(6464, 262251, F64, 18) (dual of [262251, 262187, 19]-code), using (u, u+v)-construction based on
- linear OA(6412, 104, F64, 9) (dual of [104, 92, 10]-code), using
- extended algebraic-geometric code AGe(F,94P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [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(6464, 131125, F64, 2, 18) (dual of [(131125, 2), 262186, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6464, 87417, F64, 3, 18) (dual of [(87417, 3), 262187, 19]-NRT-code) | [i] | ||