MinT - Information on Result #912756

Information on Result #912756

Linear OOA(3⁹⁵, 52, F₃, 2, 65) (dual of [(52, 2), 9, 66]-NRT-code), using concatenation of two NRT-codes based on

linear OA(27¹⁰, 13, F₂₇, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(27¹⁰, 27, F₂₇, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
  - Reedâ€“Solomon code RS(17,27) [i]
linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,3) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3⁹⁵, 52, F₃, 2, 64) (dual of [(52, 2), 9, 65]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3⁹⁵, 52, F₃, 2, 63) (dual of [(52, 2), 9, 64]-NRT-code)	[i]
3	Linear OOA(3⁹⁵, 52, F₃, 2, 62) (dual of [(52, 2), 9, 63]-NRT-code)	[i]
4	Linear OOA(3⁹⁵, 52, F₃, 2, 61) (dual of [(52, 2), 9, 62]-NRT-code)	[i]
5	Linear OOA(3⁹⁶, 52, F₃, 2, 65) (dual of [(52, 2), 8, 66]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3⁹⁴, 51, F₃, 2, 64) (dual of [(51, 2), 8, 65]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(3⁹³, 51, F₃, 2, 63) (dual of [(51, 2), 9, 64]-NRT-code)	[i]
8	Linear OOA(3⁹², 50, F₃, 2, 62) (dual of [(50, 2), 8, 63]-NRT-code)	[i]
9	Linear OOA(3⁹¹, 50, F₃, 2, 61) (dual of [(50, 2), 9, 62]-NRT-code)	[i]
10	Linear OOA(3⁹⁰, 49, F₃, 2, 60) (dual of [(49, 2), 8, 61]-NRT-code)	[i]
11	Linear OOA(3⁸⁹, 49, F₃, 2, 59) (dual of [(49, 2), 9, 60]-NRT-code)	[i]
12	Linear OOA(3⁹⁵, 26, F₃, 4, 65) (dual of [(26, 4), 9, 66]-NRT-code)	[i]		OOA Folding