Information on Result #1774304
Digital (80, 106, 1227)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4106, 1227, F4, 26) (dual of [1227, 1121, 27]-code), using
- 188 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 34 times 0, 1, 48 times 0, 1, 57 times 0) [i] based on linear OA(496, 1029, F4, 26) (dual of [1029, 933, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(496, 1024, F4, 26) (dual of [1024, 928, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(491, 1024, F4, 25) (dual of [1024, 933, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [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.