Information on Result #599789
There is no digital (7, 10, 3158441)-net over F7, because extracting embedded orthogonal array would yield linear OA(710, 3158441, F7, 3) (dual of [3158441, 3158431, 4]-code or 3158441-cap in PG(9,7)), but
- removing affine subspaces [i] would yield
- linear OA(76, 1659, F7, 3) (dual of [1659, 1653, 4]-code or 1659-cap in PG(5,7)), but
- 9735-cap in AG(6,7), but
- 2 times the recursive bound from Bierbrauer and Edel [i] would yield 239-cap in AG(4,7), but
- 62933-cap in AG(7,7), but
- 3 times the recursive bound from Bierbrauer and Edel [i] would yield 239-cap in AG(4,7) (see above)
- 409252-cap in AG(8,7), but
- 4 times the recursive bound from Bierbrauer and Edel [i] would yield 239-cap in AG(4,7) (see above)
- 2674866-cap in AG(9,7), but
- 5 times the recursive bound from Bierbrauer and Edel [i] would yield 239-cap in AG(4,7) (see above)
Mode: Bound (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.