Information on Result #1711592
Digital (199, 229, 3144)-net over F2, using net defined by OOA based on linear OOA(2229, 3144, F2, 40, 30) (dual of [(3144, 40), 125531, 31]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2229, 6289, F2, 8, 30) (dual of [(6289, 8), 50083, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2229, 6289, F2, 5, 30) (dual of [(6289, 5), 31216, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2229, 6557, F2, 5, 30) (dual of [(6557, 5), 32556, 31]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2228, 6557, F2, 5, 30) (dual of [(6557, 5), 32557, 31]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2228, 32785, F2, 30) (dual of [32785, 32557, 31]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2226, 32783, F2, 30) (dual of [32783, 32557, 31]-code), using
- 1 times truncation [i] based on linear OA(2227, 32784, F2, 31) (dual of [32784, 32557, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(30) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(2227, 32784, F2, 31) (dual of [32784, 32557, 32]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2226, 32783, F2, 30) (dual of [32783, 32557, 31]-code), using
- OOA 5-folding [i] based on linear OA(2228, 32785, F2, 30) (dual of [32785, 32557, 31]-code), using
- 21 times duplication [i] based on linear OOA(2228, 6557, F2, 5, 30) (dual of [(6557, 5), 32557, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2229, 6557, F2, 5, 30) (dual of [(6557, 5), 32556, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2229, 6289, F2, 5, 30) (dual of [(6289, 5), 31216, 31]-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.