Information on Result #674394
Linear OA(354, 1594337, F3, 7) (dual of [1594337, 1594283, 8]-code), using construction X applied to Ce(6) ⊂ Ce(4) based on
- 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(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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(354, 531445, F3, 4, 7) (dual of [(531445, 4), 2125726, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 2 | Linear OOA(354, 531445, F3, 5, 7) (dual of [(531445, 5), 2657171, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(354, 531445, F3, 7, 7) (dual of [(531445, 7), 3720061, 8]-NRT-code) | [i] | ||