MinT - Information on Result #1093608

Information on Result #1093608

Linear OOA(2²⁵⁹, 204, F₂, 4, 61) (dual of [(204, 4), 557, 62]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁴, 9, F₂, 4, 30) (dual of [(9, 4), 2, 31]-NRT-code), using
- strength reduction [i] based on linear OOA(2³⁴, 9, F₂, 4, 32) (dual of [(9, 4), 2, 33]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2¹⁰, 3, F₂, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;2,2) [i]
linear OOA(2²²⁵, 195, F₂, 4, 61) (dual of [(195, 4), 555, 62]-NRT-code), using
- extracting embedded OOA [i] based on digital (164, 225, 195)-net over F₂, using
  - trace code for nets [i] based on digital (14, 75, 65)-net over F₈, using
    - net from sequence [i] based on digital (14, 64)-sequence over F₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
        the Suzuki function field over F₈ [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁶⁰, 204, F₂, 4, 61) (dual of [(204, 4), 556, 62]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁵⁹, 102, F₂, 8, 61) (dual of [(102, 8), 557, 62]-NRT-code)	[i]		OOA Folding