Information on Result #674881
Linear OA(352, 59061, F3, 8) (dual of [59061, 59009, 9]-code), using construction X4 applied to Ce(7) ⊂ Ce(6) based on
- linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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 OA(353, 59062, F3, 8) (dual of [59062, 59009, 9]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(354, 59063, F3, 8) (dual of [59063, 59009, 9]-code) | [i] | ||
| 3 | Linear OOA(352, 29530, F3, 2, 8) (dual of [(29530, 2), 59008, 9]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(352, 19687, F3, 3, 8) (dual of [(19687, 3), 59009, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(352, 14765, F3, 4, 8) (dual of [(14765, 4), 59008, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(352, 14765, F3, 5, 8) (dual of [(14765, 5), 73773, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 7 | Linear OOA(352, 14765, F3, 8, 8) (dual of [(14765, 8), 118068, 9]-NRT-code) | [i] | ||