Information on Result #674391
Linear OA(366, 1594336, F3, 8) (dual of [1594336, 1594270, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(366, 1594323, F3, 8) (dual of [1594323, 1594257, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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, 1594341, F3, 8) (dual of [1594341, 1594272, 9]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(366, 797168, F3, 2, 8) (dual of [(797168, 2), 1594270, 9]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(366, 531445, F3, 3, 8) (dual of [(531445, 3), 1594269, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(366, 398584, F3, 4, 8) (dual of [(398584, 4), 1594270, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(366, 398584, F3, 5, 8) (dual of [(398584, 5), 1992854, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 6 | Linear OOA(366, 398584, F3, 8, 8) (dual of [(398584, 8), 3188606, 9]-NRT-code) | [i] | ||