Information on Result #1810640
Digital (22, 44, 891)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4944, 891, F49, 2, 22) (dual of [(891, 2), 1738, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4944, 1203, F49, 2, 22) (dual of [(1203, 2), 2362, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4944, 2406, F49, 22) (dual of [2406, 2362, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(4944, 2406, F49, 22) (dual of [2406, 2362, 23]-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.