Information on Result #675324
Linear OA(3130, 6579, F3, 23) (dual of [6579, 6449, 24]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(31, 17, F3, 1) (dual of [17, 16, 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 OOA(3130, 3682, F3, 2, 23) (dual of [(3682, 2), 7234, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3130, 3682, F3, 3, 23) (dual of [(3682, 3), 10916, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3130, 3682, F3, 4, 23) (dual of [(3682, 4), 14598, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3130, 3682, F3, 5, 23) (dual of [(3682, 5), 18280, 24]-NRT-code) | [i] | ||
| 5 | Digital (107, 130, 3682)-net over F3 | [i] | ||