Information on Result #1301744
Linear OA(5118, 148, F5, 67) (dual of [148, 30, 68]-code), using construction X with Varšamov bound based on
- linear OA(5112, 139, F5, 68) (dual of [139, 27, 69]-code), using
- construction X applied to Ce(67) ⊂ Ce(61) [i] based on
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(57, 14, F5, 5) (dual of [14, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- construction X applied to Ce(67) ⊂ Ce(61) [i] based on
- linear OA(5112, 142, F5, 63) (dual of [142, 30, 64]-code), using Gilbert–Varšamov bound and bm = 5112 > Vbs−1(k−1) = 1 775625 959199 824540 625140 630663 557333 635996 584068 571250 408890 829280 454435 768725 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
Mode: 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.