Information on Result #673600
Linear OA(2168, 260, F2, 51) (dual of [260, 92, 52]-code), using construction X applied to Ce(50) ⊂ Ce(46) based on
- linear OA(2165, 256, F2, 51) (dual of [256, 91, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2157, 256, F2, 47) (dual of [256, 99, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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(2167, 259, F2, 50) (dual of [259, 92, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(2168, 130, F2, 2, 51) (dual of [(130, 2), 92, 52]-NRT-code) | [i] | OOA Folding | |