Information on Result #1082826
Linear OOA(8177, 1822, F81, 4, 28) (dual of [(1822, 4), 7211, 29]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8122, 182, F81, 4, 14) (dual of [(182, 4), 706, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 82, F81, 4, 7) (dual of [(82, 4), 321, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;321,81) [i]
- linear OOA(8115, 100, F81, 4, 14) (dual of [(100, 4), 385, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,385P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(817, 82, F81, 4, 7) (dual of [(82, 4), 321, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8155, 1640, F81, 4, 28) (dual of [(1640, 4), 6505, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8155, 6560, F81, 28) (dual of [6560, 6505, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using
- OOA 4-folding [i] based on linear OA(8155, 6560, F81, 28) (dual of [6560, 6505, 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.