MinT - Information on Result #1176328

Information on Result #1176328

Linear OOA(2¹⁶¹, 76, F₂, 8, 50) (dual of [(76, 8), 447, 51]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³¹, 10, F₂, 8, 25) (dual of [(10, 8), 49, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,54P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁰, 66, F₂, 8, 50) (dual of [(66, 8), 398, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 130, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 65, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁶², 76, F₂, 8, 50) (dual of [(76, 8), 446, 51]-NRT-code)	[i]		OOA Duplication