MinT - Information on Result #1625095

Information on Result #1625095

Linear OOA(3²⁷, 12398, F₃, 5, 5) (dual of [(12398, 5), 61963, 6]-NRT-code), using appending kth column based on linear OOA(3²⁷, 12398, F₃, 4, 5) (dual of [(12398, 4), 49565, 6]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3²⁷, 12398, F₃, 5) (dual of [12398, 12371, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3²⁷, 12962, F₃, 5) (dual of [12962, 12935, 6]-code), using
  - base reduction for projective spaces (embedding PG(13,9) in PG(26,3)) [i] based on linear OA(9¹⁴, 12962, F₉, 5) (dual of [12962, 12948, 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 (22, 27, 12398)-net over F₃	[i]		Net Defined by OOA