MinT - Information on Result #2510124

Information on Result #2510124

Linear OOA(8¹³⁵, 420, F₈, 2, 42) (dual of [(420, 2), 705, 43]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8¹³³, 419, F₈, 2, 42) (dual of [(419, 2), 705, 43]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁵, 65, F₈, 2, 21) (dual of [(65, 2), 95, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,108P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]
2. linear OOA(8⁹⁸, 354, F₈, 2, 42) (dual of [(354, 2), 610, 43]-NRT-code), using
  - extracting embedded OOA [i] based on digital (56, 98, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 49, 177)-net over F₆₄, using
      - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and 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(8¹³⁵, 210, F₈, 3, 42) (dual of [(210, 3), 495, 43]-NRT-code)	[i]		OOA Folding