MinT - Information on Result #2227320

Information on Result #2227320

Linear OA(3⁴², 51, F₃, 24) (dual of [51, 9, 25]-code), using 1 times truncation based on linear OA(3⁴³, 52, F₃, 25) (dual of [52, 9, 26]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(3¹⁸, 26, F₃, 12) (dual of [26, 8, 13]-code), using
  - 2 times truncation [i] based on linear OA(3²⁰, 28, F₃, 14) (dual of [28, 8, 15]-code), using
    - contraction [i] based on linear OA(3⁴⁸, 56, F₃, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56Â | 3⁶âˆ’1, defining interval IÂ =Â {0,1,…,28}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [i]
2. linear OA(3²⁵, 26, F₃, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
  - dual of repetition code with length 26 [i]

Mode: Constructive and 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3⁴², 17, F₃, 3, 24) (dual of [(17, 3), 9, 25]-NRT-code)	[i]		OOA Folding