Information on Result #679254
Linear OA(4258, 16466, F4, 45) (dual of [16466, 16208, 46]-code), using construction X applied to Ce(44) ⊂ Ce(33) based on
- linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(426, 82, F4, 10) (dual of [82, 56, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-code), 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(4259, 16467, F4, 45) (dual of [16467, 16208, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4260, 16468, F4, 45) (dual of [16468, 16208, 46]-code) | [i] | ||
| 3 | Linear OA(4257, 16465, F4, 44) (dual of [16465, 16208, 45]-code) | [i] | Truncation | |
| 4 | Linear OOA(4258, 8233, F4, 2, 45) (dual of [(8233, 2), 16208, 46]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4258, 5488, F4, 3, 45) (dual of [(5488, 3), 16206, 46]-NRT-code) | [i] | ||