Information on Result #1018229
Linear OOA(6480, 1550, F64, 3, 28) (dual of [(1550, 3), 4570, 29]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6425, 184, F64, 3, 14) (dual of [(184, 3), 527, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(6417, 104, F64, 3, 14) (dual of [(104, 3), 295, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,297P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(648, 80, F64, 3, 7) (dual of [(80, 3), 232, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6455, 1366, F64, 3, 28) (dual of [(1366, 3), 4043, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6455, 4098, F64, 28) (dual of [4098, 4043, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- OOA 3-folding [i] based on linear OA(6455, 4098, F64, 28) (dual of [4098, 4043, 29]-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.