Information on Result #903874
Linear OOA(6455, 2194, F64, 2, 20) (dual of [(2194, 2), 4333, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6416, 145, F64, 2, 10) (dual of [(145, 2), 274, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(645, 65, F64, 2, 5) (dual of [(65, 2), 125, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;125,64) [i]
- linear OOA(6411, 80, F64, 2, 10) (dual of [(80, 2), 149, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,149P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(645, 65, F64, 2, 5) (dual of [(65, 2), 125, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6439, 2049, F64, 2, 20) (dual of [(2049, 2), 4059, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-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.