MinT - Information on Result #1305469

Information on Result #1305469

Linear OA(3²³⁷, 2608, F₃, 47) (dual of [2608, 2371, 48]-code), using 2370 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (16, 8, 5, 3, 3, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 15 times 0, 1, 15 times 0, 1, 15 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 17 times 0, 1, 18 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 23 times 0, 1, 24 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 26 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 29 times 0, 1, 30 times 0, 1, 31 times 0, 1, 32 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 37 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 40 times 0, 1, 42 times 0, 1, 43 times 0, 1, 44 times 0, 1, 45 times 0, 1, 46 times 0, 1, 47 times 0, 1, 48 times 0, 1, 50 times 0, 1, 51 times 0, 1, 52 times 0, 1, 53 times 0, 1, 55 times 0, 1, 56 times 0, 1, 58 times 0, 1, 59 times 0) based on linear OA(3⁴⁷, 48, F₃, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,3)), using

dual of repetition code with length 48 [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		Method
1	Linear OOA(3²³⁷, 2608, F₃, 2, 47) (dual of [(2608, 2), 4979, 48]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3²³⁷, 2608, F₃, 3, 47) (dual of [(2608, 3), 7587, 48]-NRT-code)	[i]
3	Linear OOA(3²³⁷, 2608, F₃, 4, 47) (dual of [(2608, 4), 10195, 48]-NRT-code)	[i]
4	Linear OOA(3²³⁷, 2608, F₃, 5, 47) (dual of [(2608, 5), 12803, 48]-NRT-code)	[i]
5	Digital (190, 237, 2608)-net over F₃	[i]
6	Linear OOA(3²³⁷, 1304, F₃, 2, 47) (dual of [(1304, 2), 2371, 48]-NRT-code)	[i]	OOA Folding