MinT - Information on Result #790333

Information on Result #790333

Digital (17, 20, 1366)-net over F₂, using trace code for nets based on digital (7, 10, 683)-net over F₄, using

s-reduction based on digital (7, 10, 5040)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹⁰, 5040, F₄, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(4¹⁰, 5040, F₄, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁰, 5040, F₄, 3) (dual of [5040, 5030, 4]-code or 5040-cap in PG(9,4)), using
      - product of projective cap with cap in AG(4,Â 4) [i] based on linear OA(4⁶, 126, F₄, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), using
        the Glynn cap [i]

Mode: Constructive and 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.