MinT - Information on Result #1840729

Information on Result #1840729

(33, 41, 2097398)-net in base 32, using net defined by OOA based on OOA(32⁴¹, 2097398, S₃₂, 10, 8), using

OOA 2-folding and stacking with additional row [i] based on OOA(32⁴¹, 4194797, S₃₂, 2, 8), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(32⁶, 496, F₃₂, 2, 4) (dual of [(496, 2), 986, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(32⁶, 992, F₃₂, 4) (dual of [992, 986, 5]-code), using
      - 1 times truncation [i] based on linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
        a code by Danev and Olsson [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.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.