MinT - Information on Result #1197544

Information on Result #1197544

Digital (17, 28, 286)-net over F₂₇, using net defined by OOA based on linear OOA(27²⁸, 286, F₂₇, 11, 11) (dual of [(286, 11), 3118, 12]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OA(27²⁸, 1431, F₂₇, 11) (dual of [1431, 1403, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(27²⁸, 1433, F₂₇, 11) (dual of [1433, 1405, 12]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
      - a code by Danev and Olsson [i]
    2. linear OA(27²¹, 730, F₂₇, 11) (dual of [730, 709, 12]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 730Â | 27⁴âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [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.