Information on Result #727553
Linear OA(32101, 351, F32, 54) (dual of [351, 250, 55]-code), using construction XX applied to C1 = C([338,49]), C2 = C([0,50]), C3 = C1 + C2 = C([0,49]), and C∩ = C1 ∩ C2 = C([338,50]) based on
- linear OA(3297, 341, F32, 53) (dual of [341, 244, 54]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−3,−2,…,49}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3293, 341, F32, 51) (dual of [341, 248, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3299, 341, F32, 54) (dual of [341, 242, 55]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−3,−2,…,50}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3291, 341, F32, 50) (dual of [341, 250, 51]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- 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
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(32101, 175, F32, 2, 54) (dual of [(175, 2), 249, 55]-NRT-code) | [i] | OOA Folding | |