Information on Result #728649
Linear OA(3297, 1072, F32, 42) (dual of [1072, 975, 43]-code), using construction XX applied to C1 = C([1020,32]), C2 = C([10,38]), C3 = C1 + C2 = C([10,32]), and C∩ = C1 ∩ C2 = C([1020,38]) based on
- linear OA(3269, 1023, F32, 36) (dual of [1023, 954, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,38}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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 = {−3,−2,…,38}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3246, 1023, F32, 23) (dual of [1023, 977, 24]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,32}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3212, 33, F32, 12) (dual of [33, 21, 13]-code or 33-arc in PG(11,32)), using
- extended Reed–Solomon code RSe(21,32) [i]
- linear OA(325, 16, F32, 5) (dual of [16, 11, 6]-code or 16-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
None.