Information on Result #1717758
Digital (59, 72, 6289)-net over F4, using net defined by OOA based on linear OOA(472, 6289, F4, 15, 13) (dual of [(6289, 15), 94263, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(472, 12579, F4, 3, 13) (dual of [(12579, 3), 37665, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(472, 12579, F4, 13) (dual of [12579, 12507, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(472, 16401, F4, 13) (dual of [16401, 16329, 14]-code), using
- (u, u+v)-construction [i] based on
- linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(472, 16401, F4, 13) (dual of [16401, 16329, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(472, 12579, F4, 13) (dual of [12579, 12507, 14]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.