MinT - Information on Result #1408909

Information on Result #1408909

Linear OOA(3¹⁰², 1779, F₃, 2, 20) (dual of [(1779, 2), 3456, 21]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹⁰², 1779, F₃, 20) (dual of [1779, 1677, 21]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁰², 2198, F₃, 20) (dual of [2198, 2096, 21]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3¹⁰, 11, F₃, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
    - dual of repetition code with length 11 [i]
  2. linear OA(3⁹², 2187, F₃, 20) (dual of [2187, 2095, 21]-code), using
    - an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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(3¹⁰², 889, F₃, 3, 20) (dual of [(889, 3), 2565, 21]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁰², 889, F₃, 4, 20) (dual of [(889, 4), 3454, 21]-NRT-code)	[i]		OOA Folding