Information on Result #678788
Linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(422, 78, F4, 9) (dual of [78, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-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(4216, 65615, F4, 33) (dual of [65615, 65399, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4214, 65613, F4, 32) (dual of [65613, 65399, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(4215, 32807, F4, 2, 33) (dual of [(32807, 2), 65399, 34]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4215, 21871, F4, 3, 33) (dual of [(21871, 3), 65398, 34]-NRT-code) | [i] | ||