Information on Result #903689
Linear OOA(6438, 2194, F64, 2, 14) (dual of [(2194, 2), 4350, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6411, 145, F64, 2, 7) (dual of [(145, 2), 279, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;127,64) [i]
- linear OOA(648, 80, F64, 2, 7) (dual of [(80, 2), 152, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,152P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6427, 2049, F64, 2, 14) (dual of [(2049, 2), 4071, 15]-NRT-code), using
- OOA 2-folding [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
- OOA 2-folding [i] based on linear OA(6427, 4098, F64, 14) (dual of [4098, 4071, 15]-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.