Information on Result #728958
Linear OA(32104, 1078, F32, 45) (dual of [1078, 974, 46]-code), using construction XX applied to C1 = C([1020,33]), C2 = C([9,41]), C3 = C1 + C2 = C([9,33]), and C∩ = C1 ∩ C2 = C([1020,41]) based on
- linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3265, 1023, F32, 33) (dual of [1023, 958, 34]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,41}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3286, 1023, F32, 45) (dual of [1023, 937, 46]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,41}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3249, 1023, F32, 25) (dual of [1023, 974, 26]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,33}, and designed minimum distance d ≥ |I|+1 = 26 [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(327, 23, F32, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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(32104, 539, F32, 2, 45) (dual of [(539, 2), 974, 46]-NRT-code) | [i] | OOA Folding | |