MinT - Information on Result #1200994

Information on Result #1200994

Digital (27, 35, 2098158)-net over F₆₄, using net defined by OOA based on linear OOA(64³⁵, 2098158, F₆₄, 10, 8) (dual of [(2098158, 10), 20981545, 9]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(64³⁵, 4196317, F₆₄, 2, 8) (dual of [(4196317, 2), 8392599, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64⁶, 2016, F₆₄, 2, 4) (dual of [(2016, 2), 4026, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
      - 1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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 and linear.

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (62, 70, 4196316)-net over F₈	[i]		Trace Code for Nets