Information on Result #1787375
Digital (89, 107, 72626)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5107, 72626, F5, 18) (dual of [72626, 72519, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5107, 78148, F5, 18) (dual of [78148, 78041, 19]-code), using
- construction X4 applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(522, 23, F5, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,5)), using
- dual of repetition code with length 23 [i]
- linear OA(51, 23, F5, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(18) ⊂ Ce(15) [i] based on
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.