Information on Result #713207
Linear OA(725, 353, F7, 9) (dual of [353, 328, 10]-code), using construction XX applied to C1 = C([0,7]), C2 = C([4,8]), C3 = C1 + C2 = C([4,7]), and C∩ = C1 ∩ C2 = C([0,8]) based on
- linear OA(719, 342, F7, 8) (dual of [342, 323, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(715, 342, F7, 5) (dual of [342, 327, 6]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {4,5,6,7,8}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(722, 342, F7, 9) (dual of [342, 320, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(712, 342, F7, 4) (dual of [342, 330, 5]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {4,5,6,7}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using
- extended Reed–Solomon code RSe(5,7) [i]
- oval in PG(2, 7) [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.