Information on Result #1716626
Digital (163, 197, 1329)-net over F3, using net defined by OOA based on linear OOA(3197, 1329, F3, 45, 34) (dual of [(1329, 45), 59608, 35]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3197, 5317, F3, 5, 34) (dual of [(5317, 5), 26388, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 5318, F3, 5, 34) (dual of [(5318, 5), 26393, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3197, 5318, F3, 34) (dual of [5318, 5121, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3197, 6598, F3, 34) (dual of [6598, 6401, 35]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(34, 36, F3, 2) (dual of [36, 32, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3197, 6598, F3, 34) (dual of [6598, 6401, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3197, 5318, F3, 34) (dual of [5318, 5121, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 5318, F3, 5, 34) (dual of [(5318, 5), 26393, 35]-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.