MinT - Information on Result #1075534

Information on Result #1075534

Linear OOA(2²⁴³, 135, F₂, 4, 72) (dual of [(135, 4), 297, 73]-NRT-code), using extracting embedded OOA based on digital (171, 243, 135)-net over F₂, using

trace code for nets [i] based on digital (9, 81, 45)-net over F₈, using
- net from sequence [i] based on digital (9, 44)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using
    - an explicitly constructive algebraic function field [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(2²⁴⁴, 135, F₂, 4, 72) (dual of [(135, 4), 296, 73]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁴⁵, 135, F₂, 4, 72) (dual of [(135, 4), 295, 73]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2²⁴³, 67, F₂, 7, 72) (dual of [(67, 7), 226, 73]-NRT-code)	[i]		OOA Folding
4	Linear OOA(2²⁴³, 67, F₂, 8, 72) (dual of [(67, 8), 293, 73]-NRT-code)	[i]		OOA Folding