MinT - Information on Result #1707945

Information on Result #1707945

Linear OOA(8¹³, 8066, F₈, 4, 4) (dual of [(8066, 4), 32251, 5]-NRT-code), using appending kth column based on linear OOA(8¹³, 8066, F₈, 3, 4) (dual of [(8066, 3), 24185, 5]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(8¹³, 8066, F₈, 4) (dual of [8066, 8053, 5]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(8¹², 8064, F₈, 4) (dual of [8064, 8052, 5]-code), using
    - trace code [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
      - 1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OA(8¹², 8065, F₈, 3) (dual of [8065, 8053, 4]-code or 8065-cap in PG(11,8)), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 8¹²Â > V_b^sâˆ’1(kâˆ’1)Â = 1593 047233 [i]
  3. linear OA(8⁰, 1, F₈, 0) (dual of [1, 1, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(8⁰, s, F₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [i]

Mode: Linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (9, 13, 8066)-net over F₈	[i]		Net Defined by OOA