Information on Result #1413285
Linear OOA(3179, 12673, F3, 2, 27) (dual of [(12673, 2), 25167, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3179, 12673, F3, 27) (dual of [12673, 12494, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3179, 19754, F3, 27) (dual of [19754, 19575, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,9]) [i] based on
- linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(316, 70, F3, 7) (dual of [70, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to C([0,13]) ⊂ C([0,9]) [i] based on
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(3179, 6336, F3, 4, 27) (dual of [(6336, 4), 25165, 28]-NRT-code) | [i] | OOA Folding | |