Information on Result #1789342
Digital (118, 148, 13179)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5148, 13179, F5, 30) (dual of [13179, 13031, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(5148, 15646, F5, 30) (dual of [15646, 15498, 31]-code), using
- 1 times truncation [i] based on linear OA(5149, 15647, F5, 31) (dual of [15647, 15498, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(5145, 15625, F5, 31) (dual of [15625, 15480, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(5149, 15647, F5, 31) (dual of [15647, 15498, 32]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.