MinT - Information on Result #2690698

Information on Result #2690698

Linear OOA(4²⁴³, 1542, F₄, 3, 50) (dual of [(1542, 3), 4383, 51]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(4²³⁴, 1539, F₄, 3, 50) (dual of [(1539, 3), 4383, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (184, 234, 1539)-net over F₄, using
- trace code for nets [i] based on digital (28, 78, 513)-net over F₆₄, using
  - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
      - the Hermitian function field over F₆₄ [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(4²⁴⁴, 1542, F₄, 3, 50) (dual of [(1542, 3), 4382, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4²⁴⁵, 1542, F₄, 3, 50) (dual of [(1542, 3), 4381, 51]-NRT-code)	[i]		OOA Duplication