Information on Result #1017875
Linear OOA(6454, 87527, F64, 3, 15) (dual of [(87527, 3), 262527, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6411, 145, F64, 3, 7) (dual of [(145, 3), 424, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;192,64) [i]
- linear OOA(648, 80, F64, 3, 7) (dual of [(80, 3), 232, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,232P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6443, 87382, F64, 3, 15) (dual of [(87382, 3), 262103, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6443, 262146, F64, 15) (dual of [262146, 262103, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6443, 262147, F64, 15) (dual of [262147, 262104, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(6443, 262147, F64, 15) (dual of [262147, 262104, 16]-code), using
- OOA 3-folding [i] based on linear OA(6443, 262146, F64, 15) (dual of [262146, 262103, 16]-code), using
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
None.