Information on Result #1718200
Digital (77, 94, 3853)-net over F4, using net defined by OOA based on linear OOA(494, 3853, F4, 21, 17) (dual of [(3853, 21), 80819, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(494, 11560, F4, 3, 17) (dual of [(11560, 3), 34586, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(494, 11561, F4, 3, 17) (dual of [(11561, 3), 34589, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(494, 11561, F4, 17) (dual of [11561, 11467, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(494, 16409, F4, 17) (dual of [16409, 16315, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(485, 16385, F4, 17) (dual of [16385, 16300, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(457, 16385, F4, 11) (dual of [16385, 16328, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(49, 24, F4, 5) (dual of [24, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(494, 16409, F4, 17) (dual of [16409, 16315, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(494, 11561, F4, 17) (dual of [11561, 11467, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(494, 11561, F4, 3, 17) (dual of [(11561, 3), 34589, 18]-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.