MinT - Information on Result #1110001

Information on Result #1110001

Linear OOA(2⁷⁸, 42, F₂, 5, 32) (dual of [(42, 5), 132, 33]-NRT-code), using extracting embedded OOA based on digital (46, 78, 42)-net over F₂, using

trace code for nets [i] based on digital (7, 39, 21)-net over F₄, using
- net from sequence [i] based on digital (7, 20)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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(2⁷⁸, 42, F₂, 5, 31) (dual of [(42, 5), 132, 32]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2⁷⁹, 42, F₂, 5, 32) (dual of [(42, 5), 131, 33]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2⁸¹, 42, F₂, 5, 32) (dual of [(42, 5), 129, 33]-NRT-code)	[i]		OOA Duplication