MinT - Information on Result #2692224

Information on Result #2692224

Linear OOA(4¹⁶⁶, 138, F₄, 3, 65) (dual of [(138, 3), 248, 66]-NRT-code), using 8 times NRT-code embedding in larger space based on linear OOA(4¹⁴², 130, F₄, 3, 65) (dual of [(130, 3), 248, 66]-NRT-code), using

extracting embedded OOA [i] based on digital (77, 142, 130)-net over F₄, using
- trace code for nets [i] based on digital (6, 71, 65)-net over F₁₆, using
  - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [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(4¹⁶⁷, 138, F₄, 3, 65) (dual of [(138, 3), 247, 66]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4¹⁶⁸, 138, F₄, 3, 65) (dual of [(138, 3), 246, 66]-NRT-code)	[i]		OOA Duplication