MinT - Information on Result #1521696

Information on Result #1521696

Linear OOA(3⁹⁵, 26526, F₃, 3, 14) (dual of [(26526, 3), 79483, 15]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3⁹⁵, 26526, F₃, 2, 14) (dual of [(26526, 2), 52957, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁹⁵, 29536, F₃, 2, 14) (dual of [(29536, 2), 58977, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁹⁵, 59072, F₃, 14) (dual of [59072, 58977, 15]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁹⁵, 59073, F₃, 14) (dual of [59073, 58978, 15]-code), using
    - constructionÂ X applied to C_e(13) âŠ‚ C_e(10) [i] based on
      1. linear OA(3⁹¹, 59049, F₃, 14) (dual of [59049, 58958, 15]-code), using an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]
      2. linear OA(3⁷¹, 59049, F₃, 11) (dual of [59049, 58978, 12]-code), using an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
      3. linear OA(3⁴, 24, F₃, 2) (dual of [24, 20, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(3⁴, 40, F₃, 2) (dual of [40, 36, 3]-code), using
        Hamming code H(4,3) [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(3⁹⁵, 13263, F₃, 5, 14) (dual of [(13263, 5), 66220, 15]-NRT-code)	[i]		OOA Folding