Information on Result #676058
Linear OA(356, 2214, F3, 11) (dual of [2214, 2158, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(356, 1107, F3, 2, 11) (dual of [(1107, 2), 2158, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(356, 738, F3, 3, 11) (dual of [(738, 3), 2158, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(356, 553, F3, 4, 11) (dual of [(553, 4), 2156, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(356, 442, F3, 5, 11) (dual of [(442, 5), 2154, 12]-NRT-code) | [i] | ||