MinT - Information on Result #2233433

Information on Result #2233433

Linear OA(3¹⁴⁰, 2187, F₃, 30) (dual of [2187, 2047, 31]-code), using 1 times truncation based on linear OA(3¹⁴¹, 2188, F₃, 31) (dual of [2188, 2047, 32]-code), using

the expurgated narrow-sense BCH-code C(I) with length 2188Â | 3¹⁴âˆ’1, defining interval IÂ =Â [0,15], and minimum distance dÂ â‰¥ |{−15,−14,…,15}|+1Â =Â 32 (BCH-bound) [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(3¹⁴⁰, 1294, F₃, 2, 30) (dual of [(1294, 2), 2448, 31]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴⁰, 1294, F₃, 3, 30) (dual of [(1294, 3), 3742, 31]-NRT-code)	[i]
3	Linear OOA(3¹⁴⁰, 1294, F₃, 4, 30) (dual of [(1294, 4), 5036, 31]-NRT-code)	[i]
4	Linear OOA(3¹⁴⁰, 1294, F₃, 5, 30) (dual of [(1294, 5), 6330, 31]-NRT-code)	[i]
5	Digital (110, 140, 1294)-net over F₃	[i]
6	Linear OA(3¹⁵², 2237, F₃, 30) (dual of [2237, 2085, 31]-code)	[i]		VarÅ¡amovâ€“Edel Lengthening
7	Linear OA(3¹⁵³, 2253, F₃, 30) (dual of [2253, 2100, 31]-code)	[i]
8	Linear OA(3¹⁵⁴, 2274, F₃, 30) (dual of [2274, 2120, 31]-code)	[i]
9	Linear OA(3¹⁵⁵, 2300, F₃, 30) (dual of [2300, 2145, 31]-code)	[i]
10	Linear OA(3¹⁵⁶, 2333, F₃, 30) (dual of [2333, 2177, 31]-code)	[i]
11	Linear OA(3¹⁵⁷, 2375, F₃, 30) (dual of [2375, 2218, 31]-code)	[i]
12	Linear OA(3¹⁵⁸, 2425, F₃, 30) (dual of [2425, 2267, 31]-code)	[i]
13	Linear OA(3¹⁵⁹, 2486, F₃, 30) (dual of [2486, 2327, 31]-code)	[i]
14	Linear OOA(3¹⁴⁰, 1093, F₃, 2, 30) (dual of [(1093, 2), 2046, 31]-NRT-code)	[i]		OOA Folding
15	Linear OOA(3¹⁴⁰, 729, F₃, 3, 30) (dual of [(729, 3), 2047, 31]-NRT-code)	[i]
16	Linear OOA(3¹⁴⁰, 546, F₃, 4, 30) (dual of [(546, 4), 2044, 31]-NRT-code)	[i]
17	Linear OOA(3¹⁴⁰, 437, F₃, 5, 30) (dual of [(437, 5), 2045, 31]-NRT-code)	[i]