Information on Result #1521436
Linear OOA(387, 25723, F3, 3, 13) (dual of [(25723, 3), 77082, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(387, 25723, F3, 2, 13) (dual of [(25723, 2), 51359, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(387, 29538, F3, 2, 13) (dual of [(29538, 2), 58989, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(387, 59076, F3, 13) (dual of [59076, 58989, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(381, 59050, F3, 13) (dual of [59050, 58969, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(361, 59050, F3, 9) (dual of [59050, 58989, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 26, F3, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- OOA 2-folding [i] based on linear OA(387, 59076, F3, 13) (dual of [59076, 58989, 14]-code), using
Mode: 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(387, 12861, F3, 5, 13) (dual of [(12861, 5), 64218, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(387, 12861, F3, 15, 13) (dual of [(12861, 15), 192828, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |