Information on Result #2202674
Linear OA(4150, 4119, F4, 32) (dual of [4119, 3969, 33]-code), using strength reduction based on linear OA(4150, 4119, F4, 33) (dual of [4119, 3969, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4150, 3902, F4, 2, 32) (dual of [(3902, 2), 7654, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4150, 3902, F4, 3, 32) (dual of [(3902, 3), 11556, 33]-NRT-code) | [i] | ||
| 3 | Digital (118, 150, 3902)-net over F4 | [i] | ||
| 4 | Linear OOA(4150, 1373, F4, 3, 32) (dual of [(1373, 3), 3969, 33]-NRT-code) | [i] | OOA Folding | |