MinT - Information on Result #1838235

Information on Result #1838235

OOA(2¹⁹⁴, 84, S₂, 4, 70), using extracting embedded OOA based on (124, 194, 84)-net in base 2, using

trace code for nets [i] based on (27, 97, 42)-net in base 4, using
- net from sequence [i] based on (27, 41)-sequence in base 4, using
  - base expansion [i] based on digital (54, 41)-sequence over F₂, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive.

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	OOA(2¹⁹⁴, 84, S₂, 4, 69)	[i]		Strength Reduction for OOAs
2	OOA(2¹⁹⁸, 85, S₂, 4, 70)	[i]		NRT-Code Embedding in Larger Space
3	OOA(2¹⁹⁵, 84, S₂, 4, 70)	[i]		OOA Duplication
4	OOA(2¹⁹⁷, 84, S₂, 4, 70)	[i]		OOA Duplication