MinT - Information on Result #1625098

Information on Result #1625098

Linear OOA(3³⁰, 25928, F₃, 5, 5) (dual of [(25928, 5), 129610, 6]-NRT-code), using appending kth column based on linear OOA(3³⁰, 25928, F₃, 4, 5) (dual of [(25928, 4), 103682, 6]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3³⁰, 25928, F₃, 5) (dual of [25928, 25898, 6]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
    - extended Reedâ€“Solomon code RS_e(2,3) [i]
    - Hamming code H(2,3) [i]
    - Simplex code S(2,3) [i]
    - the Tetracode [i]
  2. linear OA(3²⁸, 25924, F₃, 5) (dual of [25924, 25896, 6]-code), using
    - trace code [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [i]

Mode: 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

The following results depend on this result:

	Result		This result only	Method
1	Digital (25, 30, 25928)-net over F₃	[i]		Net Defined by OOA