Information on Result #2485084
Linear OOA(359, 88581, F3, 2, 8) (dual of [(88581, 2), 177103, 9]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(357, 88580, F3, 2, 8) (dual of [(88580, 2), 177103, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(357, 177160, F3, 8) (dual of [177160, 177103, 9]-code), using
- construction X4 applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(345, 177147, F3, 7) (dual of [177147, 177102, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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 X4 applied to Ce(7) ⊂ Ce(6) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(359, 88581, F3, 3, 8) (dual of [(88581, 3), 265684, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(359, 88581, F3, 4, 8) (dual of [(88581, 4), 354265, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(359, 88581, F3, 5, 8) (dual of [(88581, 5), 442846, 9]-NRT-code) | [i] | ||
| 4 | Digital (51, 59, 88581)-net over F3 | [i] | ||