Information on Result #713222
Linear OA(729, 357, F7, 10) (dual of [357, 328, 11]-code), using construction XX applied to C1 = C([0,7]), C2 = C([4,9]), C3 = C1 + C2 = C([4,7]), and C∩ = C1 ∩ C2 = C([0,9]) 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(718, 342, F7, 6) (dual of [342, 324, 7]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {4,5,…,9}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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.