Information on Result #680469
Linear OA(4122, 1030, F4, 33) (dual of [1030, 908, 34]-code), using construction X applied to Ce(32) ⊂ Ce(30) based on
- linear OA(4121, 1024, F4, 33) (dual of [1024, 903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4116, 1024, F4, 31) (dual of [1024, 908, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4122, 904, F4, 2, 33) (dual of [(904, 2), 1686, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4122, 904, F4, 3, 33) (dual of [(904, 3), 2590, 34]-NRT-code) | [i] | ||
3 | Digital (89, 122, 904)-net over F4 | [i] | ||
4 | Linear OOA(4122, 515, F4, 2, 33) (dual of [(515, 2), 908, 34]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(4122, 343, F4, 3, 33) (dual of [(343, 3), 907, 34]-NRT-code) | [i] |