Information on Result #2239216
Linear OA(4252, 259, F4, 189) (dual of [259, 7, 190]-code), using 2 times truncation based on linear OA(4254, 261, F4, 191) (dual of [261, 7, 192]-code), using
- construction X applied to Ce(190) ⊂ Ce(186) [i] based on
- linear OA(4251, 256, F4, 191) (dual of [256, 5, 192]-code), using an extension Ce(190) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,190], and designed minimum distance d ≥ |I|+1 = 191 [i]
- linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
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 OA(4255, 262, F4, 189) (dual of [262, 7, 190]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4252, 129, F4, 2, 189) (dual of [(129, 2), 6, 190]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4252, 86, F4, 3, 189) (dual of [(86, 3), 6, 190]-NRT-code) | [i] | ||