Information on Result #1709048
Digital (70, 84, 1228)-net over F2, using net defined by OOA based on linear OOA(284, 1228, F2, 21, 14) (dual of [(1228, 21), 25704, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(284, 1229, F2, 7, 14) (dual of [(1229, 7), 8519, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(284, 1229, F2, 3, 14) (dual of [(1229, 3), 3603, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(284, 1365, F2, 3, 14) (dual of [(1365, 3), 4011, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(284, 4095, F2, 14) (dual of [4095, 4011, 15]-code), using
- 1 times truncation [i] based on linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using
- OOA 3-folding [i] based on linear OA(284, 4095, F2, 14) (dual of [4095, 4011, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(284, 1365, F2, 3, 14) (dual of [(1365, 3), 4011, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(284, 1229, F2, 3, 14) (dual of [(1229, 3), 3603, 15]-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.