Information on Result #701673
Linear OA(2238, 268, F2, 97) (dual of [268, 30, 98]-code), using construction X applied to C([171,16]) ⊂ C([171,8]) based on
- linear OA(2233, 255, F2, 101) (dual of [255, 22, 102]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,16}, and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(2225, 255, F2, 93) (dual of [255, 30, 94]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,8}, and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2238, 268, F2, 96) (dual of [268, 30, 97]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2238, 134, F2, 2, 97) (dual of [(134, 2), 30, 98]-NRT-code) | [i] | OOA Folding | |