Information on Result #701686
Linear OA(2251, 261, F2, 125) (dual of [261, 10, 126]-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(24, 6, F2, 3) (dual of [6, 2, 4]-code or 6-cap in PG(3,2)), using
- discarding factors / shortening the dual code based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [i]
- discarding factors / shortening the dual code based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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(2251, 261, F2, 124) (dual of [261, 10, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2250, 260, F2, 124) (dual of [260, 10, 125]-code) | [i] | Truncation | |
| 3 | Linear OA(2249, 259, F2, 123) (dual of [259, 10, 124]-code) | [i] | ||
| 4 | Linear OOA(2251, 87, F2, 3, 125) (dual of [(87, 3), 10, 126]-NRT-code) | [i] | OOA Folding | |