MinT - Information on Result #1836952

Information on Result #1836952

OOA(128⁴⁶, 2796458, S₁₂₈, 3, 12), using (u,Â u+v)-construction based on

OOA(128⁷, 257, S₁₂₈, 3, 6), using
- extracting embedded OOA [i] based on (1, 7, 257)-net in base 128, using
  - 1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
    - base change [i] based on digital (0, 7, 257)-net over F₂₅₆, using
      - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
OOA(128³⁹, 2796201, S₁₂₈, 3, 12), using
- OOA 3-folding [i] based on OA(128³⁹, large, S₁₂₈, 12), using
  - discarding parts of the base [i] based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(128⁶⁵, 5592659, S₁₂₈, 3, 12)	[i]	(u,Â u+v)-Construction for OOAs
2	OOA(128⁶⁸, 5592788, S₁₂₈, 3, 12)	[i]
3	OOA(128⁶⁹, 5592916, S₁₂₈, 3, 12)	[i]
4	OOA(128⁴⁶, 1398228, S₁₂₈, 15, 12)	[i]	OOA Folding and Stacking with Additional Row