Information on Result #728076
Linear OA(3271, 1062, F32, 30) (dual of [1062, 991, 31]-code), using construction XX applied to C1 = C([3,29]), C2 = C([0,18]), C3 = C1 + C2 = C([3,18]), and C∩ = C1 ∩ C2 = C([0,29]) based on
- linear OA(3254, 1023, F32, 27) (dual of [1023, 969, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,29}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3232, 1023, F32, 16) (dual of [1023, 991, 17]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,18}, and designed minimum distance d ≥ |I|+1 = 17 [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(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(3271, 531, F32, 2, 30) (dual of [(531, 2), 991, 31]-NRT-code) | [i] | OOA Folding | |