Information on Result #701651
Linear OA(2126, 260, F2, 35) (dual of [260, 134, 36]-code), using construction X applied to C([237,16]) ⊂ C([239,16]) based on
- linear OA(2125, 255, F2, 35) (dual of [255, 130, 36]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−18,−17,…,16}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2121, 255, F2, 33) (dual of [255, 134, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−16,−15,…,16}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-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(2126, 260, F2, 34) (dual of [260, 134, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2127, 261, F2, 35) (dual of [261, 134, 36]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2128, 262, F2, 35) (dual of [262, 134, 36]-code) | [i] | ||
| 4 | Linear OA(2125, 259, F2, 34) (dual of [259, 134, 35]-code) | [i] | Truncation | |
| 5 | Linear OOA(2126, 130, F2, 2, 35) (dual of [(130, 2), 134, 36]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2126, 86, F2, 3, 35) (dual of [(86, 3), 132, 36]-NRT-code) | [i] | ||
| 7 | Linear OOA(2126, 65, F2, 4, 35) (dual of [(65, 4), 134, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(2126, 52, F2, 5, 35) (dual of [(52, 5), 134, 36]-NRT-code) | [i] | ||