MinT - Information on Result #1201220

Information on Result #1201220

Digital (57, 69, 2796201)-net over F₆₄, using net defined by OOA based on linear OOA(64⁶⁹, 2796201, F₆₄, 15, 12) (dual of [(2796201, 15), 41942946, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(64⁶⁹, 5592403, F₆₄, 3, 12) (dual of [(5592403, 3), 16777140, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(64⁶⁶, 5592402, F₆₄, 3, 12) (dual of [(5592402, 3), 16777140, 13]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(64²¹, 2796201, F₆₄, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(64²¹, large, F₆₄, 6) (dual of [large, large−21, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
    2. linear OOA(64⁴⁵, 2796201, F₆₄, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(64⁴⁵, large, F₆₄, 12) (dual of [large, large−45, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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		Method
1	Digital (195, 207, large)-net over F₄	[i]	Trace Code for Nets
2	Digital (126, 138, 5592402)-net over F₈	[i]	Trace Code for Nets
3	Digital (78, 90, 5592402)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets