Information on Result #1082702
Linear OOA(8151, 1756, F81, 4, 20) (dual of [(1756, 4), 6973, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 116, F81, 4, 10) (dual of [(116, 4), 452, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,453P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8139, 1640, F81, 4, 20) (dual of [(1640, 4), 6521, 21]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8139, 6560, F81, 20) (dual of [6560, 6521, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- OOA 4-folding [i] based on linear OA(8139, 6560, F81, 20) (dual of [6560, 6521, 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.