Information on Result #728111
Linear OA(3277, 1074, F32, 31) (dual of [1074, 997, 32]-code), using construction XX applied to C1 = C([7,30]), C2 = C([0,19]), C3 = C1 + C2 = C([7,19]), and C∩ = C1 ∩ C2 = C([0,30]) based on
- linear OA(3248, 1023, F32, 24) (dual of [1023, 975, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,30}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3226, 1023, F32, 13) (dual of [1023, 997, 14]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,19}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [i]
- linear OA(326, 19, F32, 6) (dual of [19, 13, 7]-code or 19-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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(3277, 537, F32, 2, 31) (dual of [(537, 2), 997, 32]-NRT-code) | [i] | OOA Folding | |