MinT - Information on Result #896779

Information on Result #896779

Linear OOA(8¹⁰⁴, 416, F₈, 2, 31) (dual of [(416, 2), 728, 32]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8³⁶, 208, F₈, 2, 15) (dual of [(208, 2), 380, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 36, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 18, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [i]
linear OOA(8⁶⁸, 208, F₈, 2, 31) (dual of [(208, 2), 348, 32]-NRT-code), using
- extracting embedded OOA [i] based on digital (37, 68, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 34, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹⁰⁴, 208, F₈, 3, 31) (dual of [(208, 3), 520, 32]-NRT-code)	[i]		OOA Folding