Information on Result #1713066
Digital (107, 119, 1195753)-net over F3, using net defined by OOA based on linear OOA(3119, 1195753, F3, 15, 12) (dual of [(1195753, 15), 17936176, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3119, 2391507, F3, 3, 12) (dual of [(2391507, 3), 7174402, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3119, 2391508, F3, 3, 12) (dual of [(2391508, 3), 7174405, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3119, 2391508, F3, 2, 12) (dual of [(2391508, 2), 4782897, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3119, 4783016, F3, 12) (dual of [4783016, 4782897, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3119, 4783017, F3, 12) (dual of [4783017, 4782898, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(3119, 4783017, F3, 12) (dual of [4783017, 4782898, 13]-code), using
- OOA 2-folding [i] based on linear OA(3119, 4783016, F3, 12) (dual of [4783016, 4782897, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3119, 2391508, F3, 2, 12) (dual of [(2391508, 2), 4782897, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3119, 2391508, F3, 3, 12) (dual of [(2391508, 3), 7174405, 13]-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.