MinT - Information on Result #1838565

Information on Result #1838565

OOA(128³⁴, 2097407, S₁₂₈, 4, 9), using (u,Â u+v)-construction based on

OOA(128⁵, 257, S₁₂₈, 4, 4), using
- appending kth column [i] based on OOA(128⁵, 257, S₁₂₈, 3, 4), using
  - extracting embedded OOA [i] based on (1, 5, 257)-net in base 128, using
    - 3 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(128²⁹, 2097150, S₁₂₈, 4, 9), using
- OOA 4-folding [i] based on OA(128²⁹, 8388600, S₁₂₈, 9), using
  - discarding factors based on OA(128²⁹, large, S₁₂₈, 9), using
    - discarding parts of the base [i] based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

None.

The following results depend on this result:

	Result		This result only	Method
1	OOA(128⁴⁶, 4194814, S₁₂₈, 4, 9)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(128³⁴, 2097406, S₁₂₈, 12, 9)	[i]		OOA Stacking with Additional Row