Information on Result #679672
Linear OA(4240, 4119, F4, 53) (dual of [4119, 3879, 54]-code), using construction X applied to Ce(52) ⊂ Ce(48) based on
- linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4240, 4119, F4, 52) (dual of [4119, 3879, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4241, 4120, F4, 53) (dual of [4120, 3879, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4239, 4118, F4, 52) (dual of [4118, 3879, 53]-code) | [i] | Truncation | |
| 4 | Linear OOA(4240, 2059, F4, 2, 53) (dual of [(2059, 2), 3878, 54]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4240, 1373, F4, 3, 53) (dual of [(1373, 3), 3879, 54]-NRT-code) | [i] | ||