Information on Result #728860
Linear OA(3297, 1062, F32, 44) (dual of [1062, 965, 45]-code), using construction XX applied to C1 = C([1015,32]), C2 = C([4,35]), C3 = C1 + C2 = C([4,32]), and C∩ = C1 ∩ C2 = C([1015,35]) based on
- linear OA(3279, 1023, F32, 41) (dual of [1023, 944, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,32}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,35}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,35}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3258, 1023, F32, 29) (dual of [1023, 965, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,32}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- linear OA(322, 7, F32, 2) (dual of [7, 5, 3]-code or 7-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
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(3297, 531, F32, 2, 44) (dual of [(531, 2), 965, 45]-NRT-code) | [i] | OOA Folding | |