MinT - Information on Result #1545241

Information on Result #1545241

Linear OOA(4²⁴⁴, 3846014, F₄, 3, 27) (dual of [(3846014, 3), 11537798, 28]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(4²⁴⁴, 3846014, F₄, 2, 27) (dual of [(3846014, 2), 7691784, 28]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²⁴⁴, 4194302, F₄, 2, 27) (dual of [(4194302, 2), 8388360, 28]-NRT-code), using
- 4¹ times duplication [i] based on linear OOA(4²⁴³, 4194302, F₄, 2, 27) (dual of [(4194302, 2), 8388361, 28]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(4²⁴¹, 4194301, F₄, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4²⁴¹, 8388602, F₄, 27) (dual of [8388602, 8388361, 28]-code), using
      - discarding factors / shortening the dual code based on linear OA(4²⁴¹, large, F₄, 27) (dual of [large, large−241, 28]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,13], and minimum distance dÂ â‰¥ |{−13,−12,…,13}|+1Â =Â 28 (BCH-bound) [i]

Mode: Linear.

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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁴⁴, 769202, F₄, 33, 27) (dual of [(769202, 33), 25383422, 28]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row