Information on Result #681538
Linear OA(4151, 270, F4, 55) (dual of [270, 119, 56]-code), using construction X applied to Ce(54) ⊂ Ce(50) based on
- linear OA(4147, 256, F4, 55) (dual of [256, 109, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4137, 256, F4, 51) (dual of [256, 119, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-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(4151, 135, F4, 2, 55) (dual of [(135, 2), 119, 56]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4151, 90, F4, 3, 55) (dual of [(90, 3), 119, 56]-NRT-code) | [i] | ||