Information on Result #1728052
Digital (97, 116, 439400)-net over F8, using net defined by OOA based on linear OOA(8116, 439400, F8, 21, 19) (dual of [(439400, 21), 9227284, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8116, 1318201, F8, 3, 19) (dual of [(1318201, 3), 3954487, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8116, 1318202, F8, 3, 19) (dual of [(1318202, 3), 3954490, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8116, 1318202, F8, 19) (dual of [1318202, 1318086, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8116, 2097170, F8, 19) (dual of [2097170, 2097054, 20]-code), using
- 2 times code embedding in larger space [i] based on linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8116, 2097170, F8, 19) (dual of [2097170, 2097054, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8116, 1318202, F8, 19) (dual of [1318202, 1318086, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(8116, 1318202, F8, 3, 19) (dual of [(1318202, 3), 3954490, 20]-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.