MinT - Information on Result #1204378

Information on Result #1204378

Digital (25, 35, 1710359)-net over F₂₅₆, using net defined by OOA based on linear OOA(256³⁵, 1710359, F₂₅₆, 15, 10) (dual of [(1710359, 15), 25655350, 11]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(256³⁵, 1710360, F₂₅₆, 5, 10) (dual of [(1710360, 5), 8551765, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁷, 32640, F₂₅₆, 5, 5) (dual of [(32640, 5), 163193, 6]-NRT-code), using
    - OOA 2-folding and stacking with additional row [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(256²⁸, 1677720, F₂₅₆, 5, 10) (dual of [(1677720, 5), 8388572, 11]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(256²⁸, 8388600, F₂₅₆, 10) (dual of [8388600, 8388572, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²⁸, large, F₂₅₆, 10) (dual of [large, large−28, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (130, 140, 6841436)-net over F₄	[i]		Trace Code for Nets
2	Digital (60, 70, 3420718)-net over F₁₆	[i]		Trace Code for Nets