Information on Result #681420
Linear OA(4186, 261, F4, 90) (dual of [261, 75, 91]-code), using construction X applied to Ce(89) ⊂ Ce(86) based on
- linear OA(4184, 256, F4, 90) (dual of [256, 72, 91]-code), using an extension Ce(89) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(4180, 256, F4, 87) (dual of [256, 76, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(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 OOA(4186, 130, F4, 2, 90) (dual of [(130, 2), 74, 91]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4186, 87, F4, 3, 90) (dual of [(87, 3), 75, 91]-NRT-code) | [i] | ||