Information on Result #736827
Linear OA(3180, 4783037, F3, 19) (dual of [4783037, 4782857, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
- linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), 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(3179, 4783036, F3, 18) (dual of [4783036, 4782857, 19]-code) | [i] | Truncation | |
| 2 | Linear OOA(3180, 2391518, F3, 2, 19) (dual of [(2391518, 2), 4782856, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3180, 1594345, F3, 3, 19) (dual of [(1594345, 3), 4782855, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 1195759, F3, 4, 19) (dual of [(1195759, 4), 4782856, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3180, 956607, F3, 5, 19) (dual of [(956607, 5), 4782855, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3180, 531448, F3, 19, 19) (dual of [(531448, 19), 10097332, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |