Information on Result #705981
Linear OA(4137, 257, F4, 51) (dual of [257, 120, 52]-code), using construction X applied to C([51,101]) ⊂ C([52,101]) based on
- linear OA(4137, 255, F4, 51) (dual of [255, 118, 52]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,101}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4135, 255, F4, 50) (dual of [255, 120, 51]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,101}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4137, 257, F4, 50) (dual of [257, 120, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4136, 256, F4, 50) (dual of [256, 120, 51]-code) | [i] | Truncation | |
| 3 | Linear OA(4134, 254, F4, 48) (dual of [254, 120, 49]-code) | [i] | ||