MinT - Information on Result #1838393

Information on Result #1838393

OOA(128³², 2129790, S₁₂₈, 4, 8), using extracting embedded OOA based on (24, 32, 2129790)-net in base 128, using

base change [i] based on digital (20, 28, 2129790)-net over F₂₅₆, using
- (u,Â u+v)-construction [i] based on
  1. digital (2, 6, 32640)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256⁶, 32640, F₂₅₆, 4, 4) (dual of [(32640, 4), 130554, 5]-NRT-code), using
      - OA 2-folding and stacking [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
        1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
  2. digital (14, 22, 2097150)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256²², 2097150, F₂₅₆, 8, 8) (dual of [(2097150, 8), 16777178, 9]-NRT-code), using
      - OA 4-folding and stacking [i] based on linear OA(256²², 8388600, F₂₅₆, 8) (dual of [8388600, 8388578, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(128³³, 2129790, S₁₂₈, 4, 8)	[i]		OOA Duplication