Information on Result #2263612
Linear OA(343, 59062, F3, 7) (dual of [59062, 59019, 8]-code), using 1 times code embedding in larger space based on linear OA(342, 59061, F3, 7) (dual of [59061, 59019, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(331, 59049, F3, 5) (dual of [59049, 59018, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(311, 12, F3, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,3)), using
- dual of repetition code with length 12 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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(343, 29531, F3, 2, 7) (dual of [(29531, 2), 59019, 8]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(343, 19687, F3, 4, 7) (dual of [(19687, 4), 78705, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 3 | Linear OOA(343, 19687, F3, 5, 7) (dual of [(19687, 5), 98392, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(343, 19687, F3, 7, 7) (dual of [(19687, 7), 137766, 8]-NRT-code) | [i] | ||