Information on Result #728997
Linear OA(32110, 1073, F32, 48) (dual of [1073, 963, 49]-code), using construction XX applied to C1 = C([1015,33]), C2 = C([6,39]), C3 = C1 + C2 = C([6,33]), and C∩ = C1 ∩ C2 = C([1015,39]) based on
- 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 = {−8,−7,…,33}, and designed minimum distance d ≥ |I|+1 = 43 [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 = {6,7,…,39}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3292, 1023, F32, 48) (dual of [1023, 931, 49]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,39}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {6,7,…,33}, and designed minimum distance d ≥ |I|+1 = 29 [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(325, 17, F32, 5) (dual of [17, 12, 6]-code or 17-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.