Information on Result #1714288
Digital (161, 180, 685066)-net over F3, using net defined by OOA based on linear OOA(3180, 685066, F3, 25, 19) (dual of [(685066, 25), 17126470, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3180, 1370133, F3, 5, 19) (dual of [(1370133, 5), 6850485, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 1370134, F3, 5, 19) (dual of [(1370134, 5), 6850490, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3180, 1370134, F3, 3, 19) (dual of [(1370134, 3), 4110222, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 1594345, F3, 3, 19) (dual of [(1594345, 3), 4782855, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3180, 4783035, F3, 19) (dual of [4783035, 4782855, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, 4783037, F3, 19) (dual of [4783037, 4782857, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3180, 4783037, F3, 19) (dual of [4783037, 4782857, 20]-code), using
- OOA 3-folding [i] based on linear OA(3180, 4783035, F3, 19) (dual of [4783035, 4782855, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 1594345, F3, 3, 19) (dual of [(1594345, 3), 4782855, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3180, 1370134, F3, 3, 19) (dual of [(1370134, 3), 4110222, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 1370134, F3, 5, 19) (dual of [(1370134, 5), 6850490, 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.