Information on Result #702512
Linear OA(2232, 564, F2, 51) (dual of [564, 332, 52]-code), using construction XX applied to C1 = C([477,12]), C2 = C([485,16]), C3 = C1 + C2 = C([485,12]), and C∩ = C1 ∩ C2 = C([477,16]) based on
- 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(2190, 511, F2, 43) (dual of [511, 321, 44]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−26,−25,…,16}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- 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(2172, 511, F2, 39) (dual of [511, 339, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−26,−25,…,12}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(217, 37, F2, 7) (dual of [37, 20, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)) (see above)
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 OOA(2232, 282, F2, 2, 51) (dual of [(282, 2), 332, 52]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2232, 188, F2, 3, 51) (dual of [(188, 3), 332, 52]-NRT-code) | [i] | ||