Information on Result #1772671
Digital (35, 43, 16346)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(443, 16346, F4, 8) (dual of [16346, 16303, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(443, 16392, F4, 8) (dual of [16392, 16349, 9]-code), using
- construction X4 applied to C([1,8]) ⊂ C([1,6]) [i] based on
- linear OA(442, 16383, F4, 8) (dual of [16383, 16341, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(435, 16383, F4, 6) (dual of [16383, 16348, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
- dual of repetition code with length 9 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([1,8]) ⊂ C([1,6]) [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.