Information on Result #1713058
Digital (102, 114, 897838)-net over F3, using net defined by OOA based on linear OOA(3114, 897838, F3, 15, 12) (dual of [(897838, 15), 13467456, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3114, 1795677, F3, 3, 12) (dual of [(1795677, 3), 5386917, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 1795678, F3, 3, 12) (dual of [(1795678, 3), 5386920, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3114, 1795678, F3, 2, 12) (dual of [(1795678, 2), 3591242, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 2391499, F3, 2, 12) (dual of [(2391499, 2), 4782884, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [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(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 29, F3, 1) (dual of [29, 28, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 2391499, F3, 2, 12) (dual of [(2391499, 2), 4782884, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3114, 1795678, F3, 2, 12) (dual of [(1795678, 2), 3591242, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3114, 1795678, F3, 3, 12) (dual of [(1795678, 3), 5386920, 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.