MinT - Information on Result #1840740

Information on Result #1840740

OOA(32⁵¹, 4194300, S₃₂, 10, 8), using OOA 2-folding and stacking with additional row based on OOA(32⁵¹, 8388601, S₃₂, 2, 8), using

discarding factors based on OOA(32⁵¹, 8388602, S₃₂, 2, 8), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(32¹⁶, 4194301, F₃₂, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(32¹⁶, 8388602, F₃₂, 4) (dual of [8388602, 8388586, 5]-code), using
      - discarding factors / shortening the dual code based on linear OA(32¹⁶, large, F₃₂, 4) (dual of [large, large−16, 5]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
  2. OOA(32³⁵, 4194301, S₃₂, 2, 8), using
    - OOA 2-folding [i] based on OA(32³⁵, 8388602, S₃₂, 8), using
      - discarding factors based on OA(32³⁵, large, S₃₂, 8), using
        discarding parts of the base [i] based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	(43, 51, 4194300)-net in base 32	[i]		Net Defined by OOA