Information on Result #1781731
Digital (188, 222, 61313)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4222, 61313, F4, 34) (dual of [61313, 61091, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4222, 65559, F4, 34) (dual of [65559, 65337, 35]-code), using
- (u, u+v)-construction [i] based on
- linear OA(421, 23, F4, 17) (dual of [23, 2, 18]-code), using
- 2 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 2 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(421, 23, F4, 17) (dual of [23, 2, 18]-code), using
- (u, u+v)-construction [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.