Information on Result #681546
Linear OA(4141, 272, F4, 49) (dual of [272, 131, 50]-code), using construction X applied to Ce(50) ⊂ Ce(44) based on
- 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(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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 OA(4140, 271, F4, 48) (dual of [271, 131, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(4141, 136, F4, 2, 49) (dual of [(136, 2), 131, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4141, 90, F4, 3, 49) (dual of [(90, 3), 129, 50]-NRT-code) | [i] | ||