Information on Result #1301733
Linear OA(5118, 146, F5, 68) (dual of [146, 28, 69]-code), using construction X with Varšamov bound based on
- linear OA(5110, 136, F5, 68) (dual of [136, 26, 69]-code), using
- construction X applied to Ce(67) ⊂ Ce(62) [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(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
- construction X applied to Ce(67) ⊂ Ce(62) [i] based on
- linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code), using Gilbert–Varšamov bound and bm = 5110 > Vbs−1(k−1) = 34667 403096 968502 398908 631963 584461 219542 944785 239573 945444 071400 668431 467365 [i]
- linear OA(56, 8, F5, 5) (dual of [8, 2, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
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.