Information on Result #1082855
Linear OOA(8178, 1756, F81, 4, 31) (dual of [(1756, 4), 6946, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 116, F81, 4, 15) (dual of [(116, 4), 447, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,448P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8161, 1640, F81, 4, 31) (dual of [(1640, 4), 6499, 32]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8161, 6560, F81, 31) (dual of [6560, 6499, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- discarding factors / shortening the dual code based on linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using
- OOA 4-folding [i] based on linear OA(8161, 6560, F81, 31) (dual of [6560, 6499, 32]-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.