Information on Result #1084814
Linear OOA(8177, 1904, F81, 4, 27) (dual of [(1904, 4), 7539, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8124, 264, F81, 4, 13) (dual of [(264, 4), 1032, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 4, 4) (dual of [(82, 4), 324, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;324,81) [i]
- linear OOA(816, 82, F81, 4, 6) (dual of [(82, 4), 322, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;322,81) [i]
- linear OOA(8114, 100, F81, 4, 13) (dual of [(100, 4), 386, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,386P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(814, 82, F81, 4, 4) (dual of [(82, 4), 324, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(8153, 1640, F81, 4, 27) (dual of [(1640, 4), 6507, 28]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8153, 6560, F81, 27) (dual of [6560, 6507, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, 6561, F81, 27) (dual of [6561, 6508, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(8153, 6561, F81, 27) (dual of [6561, 6508, 28]-code), using
- OOA 4-folding [i] based on linear OA(8153, 6560, F81, 27) (dual of [6560, 6507, 28]-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.