MinT - Information on Result #2538697

Information on Result #2538697

Linear OOA(8⁸¹, 258, F₈, 2, 36) (dual of [(258, 2), 435, 37]-NRT-code), using 8¹ times duplication based on linear OOA(8⁸⁰, 258, F₈, 2, 36) (dual of [(258, 2), 436, 37]-NRT-code), using

extracting embedded OOA [i] based on digital (44, 80, 258)-net over F₈, using
- trace code for nets [i] based on digital (4, 40, 129)-net over F₆₄, using
  - net from sequence [i] based on digital (4, 128)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 4 and N(F) ≥ 129, using
      - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [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	Linear OOA(8⁸¹, 254, F₈, 3, 36) (dual of [(254, 3), 681, 37]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound