MinT - Information on Result #1074671

Information on Result #1074671

Linear OOA(2⁵⁸, 54, F₂, 4, 19) (dual of [(54, 4), 158, 20]-NRT-code), using extracting embedded OOA based on digital (39, 58, 54)-net over F₂, using

trace code for nets [i] based on digital (10, 29, 27)-net over F₄, using
- net from sequence [i] based on digital (10, 26)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(2⁵⁸, 54, F₂, 4, 18) (dual of [(54, 4), 158, 19]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2⁵⁹, 54, F₂, 4, 19) (dual of [(54, 4), 157, 20]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2⁶¹, 54, F₂, 4, 19) (dual of [(54, 4), 155, 20]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2⁵⁸, 27, F₂, 7, 19) (dual of [(27, 7), 131, 20]-NRT-code)	[i]		OOA Folding
5	Linear OOA(2⁵⁸, 27, F₂, 8, 19) (dual of [(27, 8), 158, 20]-NRT-code)	[i]		OOA Folding