MinT - Information on Result #989341

Information on Result #989341

Linear OOA(64⁴⁷, 1517, F₆₄, 3, 17) (dual of [(1517, 3), 4504, 18]-NRT-code), using OOA 3-folding based on linear OA(64⁴⁷, 4551, F₆₄, 17) (dual of [4551, 4504, 18]-code), using

discarding factors / shortening the dual code based on linear OA(64⁴⁷, 4552, F₆₄, 17) (dual of [4552, 4505, 18]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64¹⁴, 455, F₆₄, 8) (dual of [455, 441, 9]-code), using
    - the BCH-code C(I) with length 455Â | 64²âˆ’1, defining interval IÂ =Â {1,10,19,…,64}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
  2. linear OA(64³³, 4097, F₆₄, 17) (dual of [4097, 4064, 18]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 4097Â | 64⁴âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.