MinT - Information on Result #2538671

Information on Result #2538671

Linear OOA(8⁷³, 258, F₈, 2, 32) (dual of [(258, 2), 443, 33]-NRT-code), using 8¹ times duplication based on linear OOA(8⁷², 258, F₈, 2, 32) (dual of [(258, 2), 444, 33]-NRT-code), using

extracting embedded OOA [i] based on digital (40, 72, 258)-net over F₈, using
- trace code for nets [i] based on digital (4, 36, 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(8⁷³, 254, F₈, 3, 32) (dual of [(254, 3), 689, 33]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound