Information on Result #680049
Linear OA(4197, 1382, F4, 45) (dual of [1382, 1185, 46]-code), using construction X applied to Ce(44) ⊂ Ce(40) based on
- linear OA(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4181, 1366, F4, 41) (dual of [1366, 1185, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4197, 1382, F4, 44) (dual of [1382, 1185, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4198, 1383, F4, 45) (dual of [1383, 1185, 46]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4196, 1381, F4, 44) (dual of [1381, 1185, 45]-code) | [i] | Truncation | |
| 4 | Linear OOA(4197, 691, F4, 2, 45) (dual of [(691, 2), 1185, 46]-NRT-code) | [i] | OOA Folding | |