Information on Result #1758882
Digital (213, 245, 6301)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2245, 6301, F2, 5, 32) (dual of [(6301, 5), 31260, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2245, 6557, F2, 5, 32) (dual of [(6557, 5), 32540, 33]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2243, 6557, F2, 5, 32) (dual of [(6557, 5), 32542, 33]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2243, 32785, F2, 32) (dual of [32785, 32542, 33]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2241, 32783, F2, 32) (dual of [32783, 32542, 33]-code), using
- 1 times truncation [i] based on linear OA(2242, 32784, F2, 33) (dual of [32784, 32542, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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(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(32) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(2242, 32784, F2, 33) (dual of [32784, 32542, 34]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2241, 32783, F2, 32) (dual of [32783, 32542, 33]-code), using
- OOA 5-folding [i] based on linear OA(2243, 32785, F2, 32) (dual of [32785, 32542, 33]-code), using
- 22 times duplication [i] based on linear OOA(2243, 6557, F2, 5, 32) (dual of [(6557, 5), 32542, 33]-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.