Information on Result #1722396
Digital (84, 97, 772723)-net over F5, using net defined by OOA based on linear OOA(597, 772723, F5, 15, 13) (dual of [(772723, 15), 11590748, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(597, 1545447, F5, 3, 13) (dual of [(1545447, 3), 4636244, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(597, 1545447, F5, 13) (dual of [1545447, 1545350, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(597, 1953133, F5, 13) (dual of [1953133, 1953036, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([1,6]) [i] based on
- linear OA(591, 1953126, F5, 13) (dual of [1953126, 1953035, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(590, 1953126, F5, 6) (dual of [1953126, 1953036, 7]-code), using the narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
- construction X applied to C([0,6]) ⊂ C([1,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(597, 1953133, F5, 13) (dual of [1953133, 1953036, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(597, 1545447, F5, 13) (dual of [1545447, 1545350, 14]-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.