Information on Result #728960
Linear OA(32110, 1079, F32, 47) (dual of [1079, 969, 48]-code), using construction XX applied to C1 = C([1018,33]), C2 = C([9,41]), C3 = C1 + C2 = C([9,33]), and C∩ = C1 ∩ C2 = C([1018,41]) based on
- linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3265, 1023, F32, 33) (dual of [1023, 958, 34]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,41}, and designed minimum distance d ≥ |I|+1 = 34 [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(3249, 1023, F32, 25) (dual of [1023, 974, 26]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,33}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3213, 33, F32, 13) (dual of [33, 20, 14]-code or 33-arc in PG(12,32)), using
- extended Reed–Solomon code RSe(20,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(327, 23, F32, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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
None.