Information on Result #1708312
Digital (45, 56, 632)-net over F2, using net defined by OOA based on linear OOA(256, 632, F2, 15, 11) (dual of [(632, 15), 9424, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 633, F2, 5, 11) (dual of [(633, 5), 3109, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(256, 633, F2, 3, 11) (dual of [(633, 3), 1843, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 682, F2, 3, 11) (dual of [(682, 3), 1990, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(256, 2046, F2, 11) (dual of [2046, 1990, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using
- OOA 3-folding [i] based on linear OA(256, 2046, F2, 11) (dual of [2046, 1990, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 682, F2, 3, 11) (dual of [(682, 3), 1990, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(256, 633, F2, 3, 11) (dual of [(633, 3), 1843, 12]-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.