Information on Result #705357
Linear OA(3216, 789, F3, 50) (dual of [789, 573, 51]-code), using construction XX applied to C1 = C([722,39]), C2 = C([1,43]), C3 = C1 + C2 = C([1,39]), and C∩ = C1 ∩ C2 = C([722,43]) based on
- linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,39}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3171, 728, F3, 43) (dual of [728, 557, 44]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,43}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(314, 37, F3, 6) (dual of [37, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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.