Information on Result #674236
Linear OA(386, 4782999, F3, 9) (dual of [4782999, 4782913, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(385, 4782970, F3, 9) (dual of [4782970, 4782885, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 29, F3, 1) (dual of [29, 28, 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(386, 1594333, F3, 3, 9) (dual of [(1594333, 3), 4782913, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(386, 1195749, F3, 5, 9) (dual of [(1195749, 5), 5978659, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 3 | Linear OOA(386, 1195749, F3, 9, 9) (dual of [(1195749, 9), 10761655, 10]-NRT-code) | [i] | ||