Information on Result #728810
Linear OA(32103, 1078, F32, 44) (dual of [1078, 975, 45]-code), using construction XX applied to C1 = C([1020,32]), C2 = C([10,40]), C3 = C1 + C2 = C([10,32]), and C∩ = C1 ∩ C2 = C([1020,40]) 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(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,40}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,40}, and designed minimum distance d ≥ |I|+1 = 45 [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(327, 22, F32, 7) (dual of [22, 15, 8]-code or 22-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.