Information on Result #701683
Linear OA(2248, 258, F2, 123) (dual of [258, 10, 124]-code), using construction X applied to C([165,36]) ⊂ C([171,36]) based on
- linear OA(2247, 255, F2, 127) (dual of [255, 8, 128]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−90,−89,…,36}, and designed minimum distance d ≥ |I|+1 = 128 [i]
- linear OA(2245, 255, F2, 121) (dual of [255, 10, 122]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,36}, and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2248, 258, F2, 122) (dual of [258, 10, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2246, 256, F2, 121) (dual of [256, 10, 122]-code) | [i] | Truncation | |
| 3 | Linear OOA(2248, 129, F2, 2, 123) (dual of [(129, 2), 10, 124]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2248, 86, F2, 3, 123) (dual of [(86, 3), 10, 124]-NRT-code) | [i] | ||