MinT - Information on Result #1842173

Information on Result #1842173

(66, 74, 4226940)-net in base 8, using trace code for nets based on (29, 37, 2113470)-net in base 64, using

net defined by OOA [i] based on OOA(64³⁷, 2113470, S₆₄, 10, 8), using
- OOA 2-folding and stacking with additional row [i] based on OOA(64³⁷, 4226941, S₆₄, 2, 8), using
  - (u,Â u+v)-construction [i] based on
    1. OOA(64⁸, 32640, S₆₄, 2, 4), using
      - OOA 2-folding [i] based on OA(64⁸, 65280, S₆₄, 4), using
        discarding parts of the base [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. linear OOA(64²⁹, 4194301, F₆₄, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(64²⁹, 8388602, F₆₄, 8) (dual of [8388602, 8388573, 9]-code), using
        discarding factors / shortening the dual code 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.