Information on Result #729016
Linear OA(32108, 1084, F32, 46) (dual of [1084, 976, 47]-code), using construction XX applied to C1 = C([1021,33]), C2 = C([10,43]), C3 = C1 + C2 = C([10,33]), and C∩ = C1 ∩ C2 = C([1021,43]) based on
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,33}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3267, 1023, F32, 34) (dual of [1023, 956, 35]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,43}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3288, 1023, F32, 46) (dual of [1023, 935, 47]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,43}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3247, 1023, F32, 24) (dual of [1023, 976, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,33}, and designed minimum distance d ≥ |I|+1 = 25 [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(329, 29, F32, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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, 542, F32, 2, 46) (dual of [(542, 2), 976, 47]-NRT-code) | [i] | OOA Folding | |