Information on Result #1082654
Linear OOA(8144, 1722, F81, 4, 18) (dual of [(1722, 4), 6844, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 82, F81, 4, 9) (dual of [(82, 4), 319, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;319,81) [i]
- linear OOA(8135, 1640, F81, 4, 18) (dual of [(1640, 4), 6525, 19]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8135, 6560, F81, 18) (dual of [6560, 6525, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using
- OOA 4-folding [i] based on linear OA(8135, 6560, F81, 18) (dual of [6560, 6525, 19]-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.