Information on Result #674337
Linear OA(3184, 1594352, F3, 21) (dual of [1594352, 1594168, 22]-code), using construction X4 applied to C([0,10]) ⊂ C([0,9]) based on
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using
- dual of repetition code with length 28 [i]
- linear OA(31, 28, F3, 1) (dual of [28, 27, 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
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 OA(3185, 1594353, F3, 21) (dual of [1594353, 1594168, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3186, 1594354, F3, 21) (dual of [1594354, 1594168, 22]-code) | [i] | ||
| 3 | Linear OA(3187, 1594355, F3, 21) (dual of [1594355, 1594168, 22]-code) | [i] | ||
| 4 | Linear OA(3188, 1594356, F3, 21) (dual of [1594356, 1594168, 22]-code) | [i] | ||
| 5 | Linear OOA(3184, 797176, F3, 2, 21) (dual of [(797176, 2), 1594168, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3184, 398588, F3, 4, 21) (dual of [(398588, 4), 1594168, 22]-NRT-code) | [i] | ||