Information on Result #1721414
Digital (209, 250, 5113)-net over F4, using net defined by OOA based on linear OOA(4250, 5113, F4, 45, 41) (dual of [(5113, 45), 229835, 42]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4250, 35792, F4, 3, 41) (dual of [(35792, 3), 107126, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4250, 35797, F4, 3, 41) (dual of [(35797, 3), 107141, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 35797, F4, 41) (dual of [35797, 35547, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 65573, F4, 41) (dual of [65573, 65323, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,17]) [i] based on
- linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to C([0,20]) ⊂ C([0,17]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4250, 65573, F4, 41) (dual of [65573, 65323, 42]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 35797, F4, 41) (dual of [35797, 35547, 42]-code), using
- discarding factors / shortening the dual code based on linear OOA(4250, 35797, F4, 3, 41) (dual of [(35797, 3), 107141, 42]-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.