MinT - Information on Result #1544271

Information on Result #1544271

Linear OOA(4²³⁴, 3717799, F₄, 3, 26) (dual of [(3717799, 3), 11153163, 27]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(4²³⁴, 3717799, F₄, 2, 26) (dual of [(3717799, 2), 7435364, 27]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²³⁴, 4194303, F₄, 2, 26) (dual of [(4194303, 2), 8388372, 27]-NRT-code), using
- 4¹ times duplication [i] based on linear OOA(4²³³, 4194303, F₄, 2, 26) (dual of [(4194303, 2), 8388373, 27]-NRT-code), using
  - 2 times NRT-code embedding in larger space [i] based on linear OOA(4²²⁹, 4194301, F₄, 2, 26) (dual of [(4194301, 2), 8388373, 27]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4²²⁹, 8388602, F₄, 26) (dual of [8388602, 8388373, 27]-code), using
      - discarding factors / shortening the dual code based on linear OA(4²²⁹, large, F₄, 26) (dual of [large, large−229, 27]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [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(4²³⁴, 743559, F₄, 33, 26) (dual of [(743559, 33), 24537213, 27]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row