Information on Result #702629
Linear OA(2236, 543, F2, 55) (dual of [543, 307, 56]-code), using construction XX applied to C1 = C([477,16]), C2 = C([473,12]), C3 = C1 + C2 = C([477,12]), and C∩ = C1 ∩ C2 = C([473,16]) based on
- linear OA(2208, 511, F2, 51) (dual of [511, 303, 52]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,16}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2217, 511, F2, 51) (dual of [511, 294, 52]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−38,−37,…,12}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2226, 511, F2, 55) (dual of [511, 285, 56]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−38,−37,…,16}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,12}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(2235, 542, F2, 54) (dual of [542, 307, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(2236, 271, F2, 2, 55) (dual of [(271, 2), 306, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2236, 181, F2, 3, 55) (dual of [(181, 3), 307, 56]-NRT-code) | [i] | ||