Information on Result #727425
Linear OA(3261, 345, F32, 32) (dual of [345, 284, 33]-code), using construction XX applied to C1 = C([340,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([340,30]) based on
- linear OA(3259, 341, F32, 31) (dual of [341, 282, 32]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3259, 341, F32, 31) (dual of [341, 282, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3261, 341, F32, 32) (dual of [341, 280, 33]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3257, 341, F32, 30) (dual of [341, 284, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (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(3261, 172, F32, 2, 32) (dual of [(172, 2), 283, 33]-NRT-code) | [i] | OOA Folding | |