MinT - Information on Result #1197218

Information on Result #1197218

Digital (4, 9, 378)-net over F₂₇, using net defined by OOA based on linear OOA(27⁹, 378, F₂₇, 6, 5) (dual of [(378, 6), 2259, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(27⁹, 379, F₂₇, 2, 5) (dual of [(379, 2), 749, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(27², 28, F₂₇, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;54,27) [i]
  2. linear OOA(27⁷, 351, F₂₇, 2, 5) (dual of [(351, 2), 695, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(27⁷, 702, F₂₇, 5) (dual of [702, 695, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
        a code by Danev and Olsson [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.