Information on Result #2273356
Linear OA(4241, 65576, F4, 39) (dual of [65576, 65335, 40]-code), using 1 times code embedding in larger space based on linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(33) [i] based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(4241, 39239, F4, 2, 39) (dual of [(39239, 2), 78237, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4241, 39239, F4, 3, 39) (dual of [(39239, 3), 117476, 40]-NRT-code) | [i] | ||
| 3 | Digital (202, 241, 39239)-net over F4 | [i] | ||
| 4 | Linear OOA(4241, 32788, F4, 2, 39) (dual of [(32788, 2), 65335, 40]-NRT-code) | [i] | OOA Folding | |