Information on Result #681568
Linear OA(467, 272, F4, 22) (dual of [272, 205, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
- linear OA(463, 256, F4, 22) (dual of [256, 193, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(451, 256, F4, 18) (dual of [256, 205, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(467, 255, F4, 2, 22) (dual of [(255, 2), 443, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(467, 255, F4, 3, 22) (dual of [(255, 3), 698, 23]-NRT-code) | [i] | ||
| 3 | Digital (45, 67, 255)-net over F4 | [i] | ||
| 4 | Linear OOA(467, 136, F4, 2, 22) (dual of [(136, 2), 205, 23]-NRT-code) | [i] | OOA Folding | |