MinT - Information on Result #580937

Information on Result #580937

There is no linear OOA(3¹⁰, 2817, F₃, 4, 3) (dual of [(2817, 4), 11258, 4]-NRT-code), because 3 times depth reduction would yield linear OA(3¹⁰, 2817, F₃, 3) (dual of [2817, 2807, 4]-code or 2817-cap in PG(9,3)), but

doubling the cap [i] would yield 5634-cap in AG(10,3), but
- discarding factors / shortening the dual code would yield 5633-cap in AG(10,3), but
  - 4 times the recursive bound from Bierbrauer and Edel [i] would yield 113-cap in AG(6,3), but
    - bound on the size of affine caps [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.