MinT - Information on Result #1172653

Information on Result #1172653

Linear OOA(2⁷², 152, F₂, 8, 15) (dual of [(152, 8), 1144, 16]-NRT-code), using extracting embedded OOA based on digital (57, 72, 152)-net over F₂, using

trace code for nets [i] based on digital (3, 18, 38)-net over F₁₆, using
- net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
    - a function field by SÃ©mirat [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(2⁷³, 152, F₂, 8, 15) (dual of [(152, 8), 1143, 16]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁷⁴, 152, F₂, 8, 15) (dual of [(152, 8), 1142, 16]-NRT-code)	[i]		OOA Duplication