MinT - Information on Result #2526512

Information on Result #2526512

OOA(27⁴⁵, 4197541, S₂₇, 2, 8), using 27¹ times duplication based on OOA(27⁴⁴, 4197541, S₂₇, 2, 8), using

(u,Â u+v)-construction [i] based on
1. OOA(27⁸, 3240, S₂₇, 2, 4), using
  - OOA 2-folding [i] based on OA(27⁸, 6480, S₂₇, 4), using
    - discarding parts of the base [i] based on linear OA(81⁶, 6480, F₈₁, 4) (dual of [6480, 6474, 5]-code), using
      - 1 times truncation [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
2. linear OOA(27³⁶, 4194301, F₂₇, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(27³⁶, 8388602, F₂₇, 8) (dual of [8388602, 8388566, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁶, large, F₂₇, 8) (dual of [large, large−36, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.