Information on Result #1709320
Digital (63, 78, 538)-net over F2, using net defined by OOA based on linear OOA(278, 538, F2, 21, 15) (dual of [(538, 21), 11220, 16]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(278, 539, F2, 7, 15) (dual of [(539, 7), 3695, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(278, 539, F2, 3, 15) (dual of [(539, 3), 1539, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(278, 682, F2, 3, 15) (dual of [(682, 3), 1968, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(278, 2046, F2, 15) (dual of [2046, 1968, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using
- OOA 3-folding [i] based on linear OA(278, 2046, F2, 15) (dual of [2046, 1968, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(278, 682, F2, 3, 15) (dual of [(682, 3), 1968, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(278, 539, F2, 3, 15) (dual of [(539, 3), 1539, 16]-NRT-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.