Information on Result #2272593
Linear OA(4177, 65576, F4, 28) (dual of [65576, 65399, 29]-code), using 1 times code embedding in larger space based on linear OA(4176, 65575, F4, 28) (dual of [65575, 65399, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(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(4177, 41825, F4, 2, 28) (dual of [(41825, 2), 83473, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4177, 41825, F4, 3, 28) (dual of [(41825, 3), 125298, 29]-NRT-code) | [i] | ||
| 3 | Digital (149, 177, 41825)-net over F4 | [i] | ||
| 4 | Linear OOA(4177, 32788, F4, 2, 28) (dual of [(32788, 2), 65399, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4177, 4684, F4, 28, 28) (dual of [(4684, 28), 130975, 29]-NRT-code) | [i] | OA Folding and Stacking | |