Information on Result #1715364
Digital (115, 140, 1194)-net over F3, using net defined by OOA based on linear OOA(3140, 1194, F3, 28, 25) (dual of [(1194, 28), 33292, 26]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3140, 3583, F3, 4, 25) (dual of [(3583, 4), 14192, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3140, 3583, F3, 25) (dual of [3583, 3443, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3140, 6603, F3, 25) (dual of [6603, 6463, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 41, F3, 5) (dual of [41, 30, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- (u, u+v)-construction [i] based on
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3140, 6603, F3, 25) (dual of [6603, 6463, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3140, 3583, F3, 25) (dual of [3583, 3443, 26]-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.