MinT - Information on Result #604434

Information on Result #604434

Linear OA(3⁴⁸, 49, F₃, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,3)), using dual of repetition code with length 49

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		Method
1	Linear OA(3⁴⁸, 49, F₃, 47) (dual of [49, 1, 48]-code)	[i]	Strength Reduction
2	Linear OA(3⁴⁸, 49, F₃, 46) (dual of [49, 1, 47]-code)	[i]
3	Linear OA(3⁴⁸, 49, F₃, 45) (dual of [49, 1, 46]-code)	[i]
4	Linear OA(3⁴⁸, 49, F₃, 44) (dual of [49, 1, 45]-code)	[i]
5	Linear OA(3⁴⁸, 49, F₃, 43) (dual of [49, 1, 44]-code)	[i]
6	Linear OA(3⁴⁸, 49, F₃, 42) (dual of [49, 1, 43]-code)	[i]
7	Linear OA(3⁴⁸, 49, F₃, 41) (dual of [49, 1, 42]-code)	[i]
8	Linear OA(3⁴⁸, 49, F₃, 40) (dual of [49, 1, 41]-code)	[i]
9	Linear OA(3⁴⁸, 49, F₃, 39) (dual of [49, 1, 40]-code)	[i]
10	Linear OA(3⁴⁸, 49, F₃, 38) (dual of [49, 1, 39]-code)	[i]
11	Linear OA(3⁴⁸, 49, F₃, 37) (dual of [49, 1, 38]-code)	[i]
12	Linear OA(3¹⁰⁸, 139, F₃, 48) (dual of [139, 31, 49]-code)	[i]	VarÅ¡amovâ€“Edel Lengthening
13	Linear OA(3¹¹⁴, 156, F₃, 48) (dual of [156, 42, 49]-code)	[i]
14	Linear OA(3¹¹⁸, 169, F₃, 48) (dual of [169, 51, 49]-code)	[i]
15	Linear OA(3¹²⁰, 176, F₃, 48) (dual of [176, 56, 49]-code)	[i]
16	Linear OA(3¹²³, 187, F₃, 48) (dual of [187, 64, 49]-code)	[i]
17	Linear OA(3¹²⁴, 191, F₃, 48) (dual of [191, 67, 49]-code)	[i]
18	Linear OA(3¹²⁵, 195, F₃, 48) (dual of [195, 70, 49]-code)	[i]
19	Linear OA(3¹²⁶, 199, F₃, 48) (dual of [199, 73, 49]-code)	[i]
20	Linear OA(3¹²⁷, 203, F₃, 48) (dual of [203, 76, 49]-code)	[i]
21	Linear OA(3¹²⁸, 207, F₃, 48) (dual of [207, 79, 49]-code)	[i]
22	Linear OA(3¹³², 225, F₃, 48) (dual of [225, 93, 49]-code)	[i]
23	Linear OA(3¹⁴¹, 272, F₃, 48) (dual of [272, 131, 49]-code)	[i]
24	Linear OA(3¹⁴², 278, F₃, 48) (dual of [278, 136, 49]-code)	[i]
25	Linear OA(3¹⁴³, 284, F₃, 48) (dual of [284, 141, 49]-code)	[i]
26	Linear OA(3¹⁴⁴, 290, F₃, 48) (dual of [290, 146, 49]-code)	[i]
27	Linear OA(3¹⁴⁸, 316, F₃, 48) (dual of [316, 168, 49]-code)	[i]
28	Linear OA(3¹⁴⁹, 323, F₃, 48) (dual of [323, 174, 49]-code)	[i]
29	Linear OA(3¹⁵⁰, 330, F₃, 48) (dual of [330, 180, 49]-code)	[i]
30	Linear OA(3¹⁵⁴, 360, F₃, 48) (dual of [360, 206, 49]-code)	[i]
31	Linear OA(3¹⁵⁵, 368, F₃, 48) (dual of [368, 213, 49]-code)	[i]
32	Linear OA(3¹⁵⁶, 376, F₃, 48) (dual of [376, 220, 49]-code)	[i]
33	Linear OA(3¹⁶², 429, F₃, 48) (dual of [429, 267, 49]-code)	[i]
34	Linear OA(3¹⁶⁸, 490, F₃, 48) (dual of [490, 322, 49]-code)	[i]
35	Linear OA(3¹⁶⁹, 501, F₃, 48) (dual of [501, 332, 49]-code)	[i]
36	Linear OA(3¹⁷⁴, 560, F₃, 48) (dual of [560, 386, 49]-code)	[i]
37	Linear OA(3¹⁷⁵, 573, F₃, 48) (dual of [573, 398, 49]-code)	[i]
38	Linear OA(3¹⁷⁶, 586, F₃, 48) (dual of [586, 410, 49]-code)	[i]
39	Linear OA(3¹⁷⁷, 599, F₃, 48) (dual of [599, 422, 49]-code)	[i]
40	Linear OA(3²⁰³, 1080, F₃, 48) (dual of [1080, 877, 49]-code)	[i]
41	Linear OA(3²⁰⁴, 1105, F₃, 48) (dual of [1105, 901, 49]-code)	[i]
42	Linear OA(3²⁰⁸, 1211, F₃, 48) (dual of [1211, 1003, 49]-code)	[i]
43	Linear OA(3²¹⁰, 1268, F₃, 48) (dual of [1268, 1058, 49]-code)	[i]
44	Linear OA(3²¹⁵, 1422, F₃, 48) (dual of [1422, 1207, 49]-code)	[i]
45	Linear OA(3²¹⁷, 1489, F₃, 48) (dual of [1489, 1272, 49]-code)	[i]
46	Linear OA(3²⁴⁶, 2910, F₃, 48) (dual of [2910, 2664, 49]-code)	[i]
47	Linear OA(3²⁴⁸, 3048, F₃, 48) (dual of [3048, 2800, 49]-code)	[i]