MinT - Information on Result #1014337

Information on Result #1014337

Linear OOA(8⁸³, 5592467, F₈, 3, 10) (dual of [(5592467, 3), 16777318, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8⁹, 65, F₈, 3, 5) (dual of [(65, 3), 186, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 65)-net over F₈, using
  - base reduction for projective spaces (embedding PG(4,64) in PG(8,8)) for nets [i] based on digital (0, 5, 65)-net over F₆₄, using
    - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
      - Niederreiter sequence [i]
linear OOA(8⁷⁴, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(64³⁷, 2796201, F₆₄, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8⁸³, 2796233, F₈, 15, 10) (dual of [(2796233, 15), 41943412, 11]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row