Information on Result #1727746
Digital (57, 74, 7592)-net over F8, using net defined by OOA based on linear OOA(874, 7592, F8, 21, 17) (dual of [(7592, 21), 159358, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(874, 22777, F8, 3, 17) (dual of [(22777, 3), 68257, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 22779, F8, 3, 17) (dual of [(22779, 3), 68263, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 22779, F8, 17) (dual of [22779, 22705, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 32779, F8, 17) (dual of [32779, 32705, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(861, 32769, F8, 13) (dual of [32769, 32708, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(874, 32779, F8, 17) (dual of [32779, 32705, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 22779, F8, 17) (dual of [22779, 22705, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(874, 22779, F8, 3, 17) (dual of [(22779, 3), 68263, 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.