Information on Result #1716284
Digital (145, 176, 1463)-net over F3, using net defined by OOA based on linear OOA(3176, 1463, F3, 35, 31) (dual of [(1463, 35), 51029, 32]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3176, 4390, F3, 5, 31) (dual of [(4390, 5), 21774, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3176, 4391, F3, 5, 31) (dual of [(4391, 5), 21779, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3176, 4391, F3, 31) (dual of [4391, 4215, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3176, 6578, F3, 31) (dual of [6578, 6402, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([1,15]) [i] based on
- 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(3160, 6562, F3, 15) (dual of [6562, 6402, 16]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- construction X applied to C([0,15]) ⊂ C([1,15]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3176, 6578, F3, 31) (dual of [6578, 6402, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3176, 4391, F3, 31) (dual of [4391, 4215, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(3176, 4391, F3, 5, 31) (dual of [(4391, 5), 21779, 32]-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.