Information on Result #674701
Linear OA(368, 177160, F3, 10) (dual of [177160, 177092, 11]-code), using construction X4 applied to Ce(9) ⊂ Ce(7) based on
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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(369, 177161, F3, 10) (dual of [177161, 177092, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(370, 177162, F3, 10) (dual of [177162, 177092, 11]-code) | [i] | ||
| 3 | Linear OA(367, 177159, F3, 9) (dual of [177159, 177092, 10]-code) | [i] | Truncation | |
| 4 | Linear OOA(368, 88580, F3, 2, 10) (dual of [(88580, 2), 177092, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(368, 44290, F3, 4, 10) (dual of [(44290, 4), 177092, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(368, 35432, F3, 5, 10) (dual of [(35432, 5), 177092, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(368, 35432, F3, 10, 10) (dual of [(35432, 10), 354252, 11]-NRT-code) | [i] | OA Folding and Stacking | |