Information on Result #728526
Linear OA(3297, 1075, F32, 41) (dual of [1075, 978, 42]-code), using construction XX applied to C1 = C([1022,32]), C2 = C([13,39]), C3 = C1 + C2 = C([13,32]), and C∩ = C1 ∩ C2 = C([1022,39]) based on
- linear OA(3265, 1023, F32, 34) (dual of [1023, 958, 35]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,39}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3240, 1023, F32, 20) (dual of [1023, 983, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,32}, and designed minimum distance d ≥ |I|+1 = 21 [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(326, 19, F32, 6) (dual of [19, 13, 7]-code or 19-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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.