Information on Result #1756774
Digital (184, 220, 1361)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2220, 1361, F2, 3, 36) (dual of [(1361, 3), 3863, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2220, 1370, F2, 3, 36) (dual of [(1370, 3), 3890, 37]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2219, 1370, F2, 3, 36) (dual of [(1370, 3), 3891, 37]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2219, 4110, F2, 36) (dual of [4110, 3891, 37]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2217, 4108, F2, 36) (dual of [4108, 3891, 37]-code), using
- 1 times truncation [i] based on linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2217, 4096, F2, 37) (dual of [4096, 3879, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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(36) ⊂ Ce(34) [i] based on
- 1 times truncation [i] based on linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2217, 4108, F2, 36) (dual of [4108, 3891, 37]-code), using
- OOA 3-folding [i] based on linear OA(2219, 4110, F2, 36) (dual of [4110, 3891, 37]-code), using
- 21 times duplication [i] based on linear OOA(2219, 1370, F2, 3, 36) (dual of [(1370, 3), 3891, 37]-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.