Information on Result #2272956
Linear OA(4216, 65615, F4, 33) (dual of [65615, 65399, 34]-code), using 1 times code embedding in larger space based on linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(22) [i] 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 OOA(4216, 61989, F4, 2, 33) (dual of [(61989, 2), 123762, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4216, 61989, F4, 3, 33) (dual of [(61989, 3), 185751, 34]-NRT-code) | [i] | ||
| 3 | Digital (183, 216, 61989)-net over F4 | [i] | ||