Information on Result #729059
Linear OA(32109, 1080, F32, 47) (dual of [1080, 971, 48]-code), using construction XX applied to C1 = C([1018,32]), C2 = C([7,41]), C3 = C1 + C2 = C([7,32]), and C∩ = C1 ∩ C2 = C([1018,41]) based on
- linear OA(3273, 1023, F32, 38) (dual of [1023, 950, 39]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−5,−4,…,32}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {7,8,…,41}, 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 = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3252, 1023, F32, 26) (dual of [1023, 971, 27]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,32}, and designed minimum distance d ≥ |I|+1 = 27 [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(328, 25, F32, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), 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(32109, 540, F32, 2, 47) (dual of [(540, 2), 971, 48]-NRT-code) | [i] | OOA Folding | |