Information on Result #737303
Linear OA(4244, 4129, F4, 53) (dual of [4129, 3885, 54]-code), using construction X applied to Ce(52) ⊂ Ce(46) 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(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-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(4246, 4131, F4, 53) (dual of [4131, 3885, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4247, 4132, F4, 53) (dual of [4132, 3885, 54]-code) | [i] | ||
| 3 | Linear OOA(4244, 2064, F4, 2, 53) (dual of [(2064, 2), 3884, 54]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4244, 1376, F4, 3, 53) (dual of [(1376, 3), 3884, 54]-NRT-code) | [i] | ||