MinT - Information on Result #1546912

Information on Result #1546912

Linear OOA(4²⁶⁰, 3314795, F₄, 3, 29) (dual of [(3314795, 3), 9944125, 30]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(4²⁶⁰, 3314795, F₄, 2, 29) (dual of [(3314795, 2), 6629330, 30]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²⁶⁰, 4194304, F₄, 2, 29) (dual of [(4194304, 2), 8388348, 30]-NRT-code), using
- 4¹ times duplication [i] based on linear OOA(4²⁵⁹, 4194304, F₄, 2, 29) (dual of [(4194304, 2), 8388349, 30]-NRT-code), using
  - 3 times NRT-code embedding in larger space [i] based on linear OOA(4²⁵³, 4194301, F₄, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(4²⁵³, 8388602, F₄, 29) (dual of [8388602, 8388349, 30]-code), using
      - discarding factors / shortening the dual code based on linear OA(4²⁵³, large, F₄, 29) (dual of [large, large−253, 30]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [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(4²⁶⁰, 662958, F₄, 33, 29) (dual of [(662958, 33), 21877354, 30]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row