Information on Result #1717530
Digital (50, 61, 7130)-net over F4, using net defined by OOA based on linear OOA(461, 7130, F4, 15, 11) (dual of [(7130, 15), 106889, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(461, 14261, F4, 3, 11) (dual of [(14261, 3), 42722, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(461, 14262, F4, 3, 11) (dual of [(14262, 3), 42725, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(461, 14262, F4, 11) (dual of [14262, 14201, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(461, 16390, F4, 11) (dual of [16390, 16329, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([1,5]) [i] based on
- 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(456, 16385, F4, 6) (dual of [16385, 16329, 7]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [1,5], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- dual of repetition code with length 5 [i]
- construction X applied to C([0,5]) ⊂ C([1,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(461, 16390, F4, 11) (dual of [16390, 16329, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(461, 14262, F4, 11) (dual of [14262, 14201, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(461, 14262, F4, 3, 11) (dual of [(14262, 3), 42725, 12]-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.