Information on Result #729041
Linear OA(32105, 1068, F32, 47) (dual of [1068, 963, 48]-code), using construction XX applied to C1 = C([1014,32]), C2 = C([3,37]), C3 = C1 + C2 = C([3,32]), and C∩ = C1 ∩ C2 = C([1014,37]) based on
- linear OA(3281, 1023, F32, 42) (dual of [1023, 942, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−9,−8,…,32}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3269, 1023, F32, 35) (dual of [1023, 954, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3290, 1023, F32, 47) (dual of [1023, 933, 48]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−9,−8,…,37}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3260, 1023, F32, 30) (dual of [1023, 963, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,32}, and designed minimum distance d ≥ |I|+1 = 31 [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(324, 13, F32, 4) (dual of [13, 9, 5]-code or 13-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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(32105, 534, F32, 2, 47) (dual of [(534, 2), 963, 48]-NRT-code) | [i] | OOA Folding | |