Information on Result #1725964
Digital (48, 67, 757)-net over F7, using net defined by OOA based on linear OOA(767, 757, F7, 21, 19) (dual of [(757, 21), 15830, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(767, 2272, F7, 3, 19) (dual of [(2272, 3), 6749, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(767, 2274, F7, 3, 19) (dual of [(2274, 3), 6755, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(767, 2274, F7, 19) (dual of [2274, 2207, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(767, 2412, F7, 19) (dual of [2412, 2345, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(766, 2411, F7, 19) (dual of [2411, 2345, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(765, 2402, F7, 19) (dual of [2402, 2337, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(757, 2402, F7, 17) (dual of [2402, 2345, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 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
- 1 times code embedding in larger space [i] based on linear OA(766, 2411, F7, 19) (dual of [2411, 2345, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(767, 2412, F7, 19) (dual of [2412, 2345, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(767, 2274, F7, 19) (dual of [2274, 2207, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(767, 2274, F7, 3, 19) (dual of [(2274, 3), 6755, 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.