MinT - Information on Result #1059760

Information on Result #1059760

Linear OOA(3¹²⁰, 2097150, F₃, 4, 12) (dual of [(2097150, 4), 8388480, 13]-NRT-code), using OOA 4-folding based on linear OA(3¹²⁰, 8388600, F₃, 12) (dual of [8388600, 8388480, 13]-code), using

discarding factors / shortening the dual code based on linear OA(3¹²⁰, large, F₃, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹²⁶, 2097154, F₃, 4, 12) (dual of [(2097154, 4), 8388490, 13]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹²⁷, 2097157, F₃, 4, 12) (dual of [(2097157, 4), 8388501, 13]-NRT-code)	[i]
3	Linear OOA(3¹²⁸, 2097159, F₃, 4, 12) (dual of [(2097159, 4), 8388508, 13]-NRT-code)	[i]
4	Linear OOA(3¹²⁹, 2097163, F₃, 4, 12) (dual of [(2097163, 4), 8388523, 13]-NRT-code)	[i]
5	Linear OOA(3¹³⁰, 2097169, F₃, 4, 12) (dual of [(2097169, 4), 8388546, 13]-NRT-code)	[i]
6	Linear OOA(3¹³¹, 2097175, F₃, 4, 12) (dual of [(2097175, 4), 8388569, 13]-NRT-code)	[i]
7	Linear OOA(3¹³², 2097183, F₃, 4, 12) (dual of [(2097183, 4), 8388600, 13]-NRT-code)	[i]
8	Linear OOA(3¹³³, 2097192, F₃, 4, 12) (dual of [(2097192, 4), 8388635, 13]-NRT-code)	[i]
9	Linear OOA(3¹³⁶, 2097196, F₃, 4, 12) (dual of [(2097196, 4), 8388648, 13]-NRT-code)	[i]
10	Linear OOA(3¹³⁷, 2097203, F₃, 4, 12) (dual of [(2097203, 4), 8388675, 13]-NRT-code)	[i]
11	Linear OOA(3¹³⁸, 2097234, F₃, 4, 12) (dual of [(2097234, 4), 8388798, 13]-NRT-code)	[i]
12	Linear OOA(3¹⁴⁰, 2097240, F₃, 4, 12) (dual of [(2097240, 4), 8388820, 13]-NRT-code)	[i]
13	Linear OOA(3¹⁴¹, 2097264, F₃, 4, 12) (dual of [(2097264, 4), 8388915, 13]-NRT-code)	[i]