Information on Result #1754622
Digital (156, 191, 722)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2191, 722, F2, 2, 35) (dual of [(722, 2), 1253, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2191, 1031, F2, 2, 35) (dual of [(1031, 2), 1871, 36]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2189, 1030, F2, 2, 35) (dual of [(1030, 2), 1871, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2189, 2060, F2, 35) (dual of [2060, 1871, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(2188, 2048, F2, 35) (dual of [2048, 1860, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2177, 2048, F2, 33) (dual of [2048, 1871, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- OOA 2-folding [i] based on linear OA(2189, 2060, F2, 35) (dual of [2060, 1871, 36]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2189, 1030, F2, 2, 35) (dual of [(1030, 2), 1871, 36]-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.