MinT - Information on Result #1218764

Information on Result #1218764

Digital (60, 70, 3420720)-net over F₁₆, using (u,Â u+v)-construction based on

digital (9, 14, 65280)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16¹⁴, 65280, F₁₆, 5, 5) (dual of [(65280, 5), 326386, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(16¹⁴, 130561, F₁₆, 5) (dual of [130561, 130547, 6]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
      - trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
digital (46, 56, 3355440)-net over F₁₆, using
- trace code for nets [i] based on digital (18, 28, 1677720)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256²⁸, 1677720, F₂₅₆, 10, 10) (dual of [(1677720, 10), 16777172, 11]-NRT-code), using
    - OA 5-folding and stacking [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

None.