Information on Result #729093
Linear OA(32108, 1072, F32, 48) (dual of [1072, 964, 49]-code), using construction XX applied to C1 = C([1015,33]), C2 = C([4,39]), C3 = C1 + C2 = C([4,33]), and C∩ = C1 ∩ C2 = C([1015,39]) based on
- linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,33}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3271, 1023, F32, 36) (dual of [1023, 952, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,39}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3292, 1023, F32, 48) (dual of [1023, 931, 49]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,39}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,33}, 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(325, 17, F32, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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(32108, 536, F32, 2, 48) (dual of [(536, 2), 964, 49]-NRT-code) | [i] | OOA Folding | |