MinT - Information on Result #1651310

Information on Result #1651310

Linear OOA(3²³⁶, 1195759, F₃, 5, 25) (dual of [(1195759, 5), 5978559, 26]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²³⁶, 1195759, F₃, 4, 25) (dual of [(1195759, 4), 4782800, 26]-NRT-code), using

OOA 4-folding [i] based on linear OA(3²³⁶, 4783036, F₃, 25) (dual of [4783036, 4782800, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3²³⁶, 4783037, F₃, 25) (dual of [4783037, 4782801, 26]-code), using
  - constructionÂ X applied to C([0,12]) âŠ‚ C([0,9]) [i] based on
    1. linear OA(3²²⁵, 4782970, F₃, 25) (dual of [4782970, 4782745, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 3²⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
    2. linear OA(3¹⁶⁹, 4782970, F₃, 19) (dual of [4782970, 4782801, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 3²⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]
    3. linear OA(3¹¹, 67, F₃, 5) (dual of [67, 56, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹¹, 85, F₃, 5) (dual of [85, 74, 6]-code), using
        codes constructed by inverting constructionÂ Y₁ [i]

Mode: 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²³⁷, 1195759, F₃, 5, 25) (dual of [(1195759, 5), 5978558, 26]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²³⁸, 1195759, F₃, 5, 25) (dual of [(1195759, 5), 5978557, 26]-NRT-code)	[i]		OOA Duplication