Information on Result #676544
Linear OA(338, 736, F3, 10) (dual of [736, 698, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(337, 729, F3, 10) (dual of [729, 692, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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(338, 368, F3, 2, 10) (dual of [(368, 2), 698, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(338, 245, F3, 3, 10) (dual of [(245, 3), 697, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(338, 184, F3, 4, 10) (dual of [(184, 4), 698, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(338, 147, F3, 5, 10) (dual of [(147, 5), 697, 11]-NRT-code) | [i] | ||