Information on Result #604433

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

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:

ResultThis
result
only
Method
1Linear OA(347, 48, F3, 46) (dual of [48, 1, 47]-code) [i]Strength Reduction
2Linear OA(347, 48, F3, 45) (dual of [48, 1, 46]-code) [i]
3Linear OA(347, 48, F3, 44) (dual of [48, 1, 45]-code) [i]
4Linear OA(347, 48, F3, 43) (dual of [48, 1, 44]-code) [i]
5Linear OA(347, 48, F3, 42) (dual of [48, 1, 43]-code) [i]
6Linear OA(347, 48, F3, 41) (dual of [48, 1, 42]-code) [i]
7Linear OA(347, 48, F3, 40) (dual of [48, 1, 41]-code) [i]
8Linear OA(347, 48, F3, 39) (dual of [48, 1, 40]-code) [i]
9Linear OA(347, 48, F3, 38) (dual of [48, 1, 39]-code) [i]
10Linear OA(347, 48, F3, 37) (dual of [48, 1, 38]-code) [i]
11Linear OA(347, 48, F3, 36) (dual of [48, 1, 37]-code) [i]
12Linear OA(3106, 137, F3, 47) (dual of [137, 31, 48]-code) [i]VarÅ¡amov–Edel Lengthening
13Linear OA(3119, 178, F3, 47) (dual of [178, 59, 48]-code) [i]
14Linear OA(3128, 215, F3, 47) (dual of [215, 87, 48]-code) [i]
15Linear OA(3131, 229, F3, 47) (dual of [229, 98, 48]-code) [i]
16Linear OA(3132, 234, F3, 47) (dual of [234, 102, 48]-code) [i]
17Linear OA(3133, 239, F3, 47) (dual of [239, 106, 48]-code) [i]
18Linear OA(3136, 255, F3, 47) (dual of [255, 119, 48]-code) [i]
19Linear OA(3144, 304, F3, 47) (dual of [304, 160, 48]-code) [i]
20Linear OA(3150, 347, F3, 47) (dual of [347, 197, 48]-code) [i]
21Linear OA(3151, 355, F3, 47) (dual of [355, 204, 48]-code) [i]
22Linear OA(3152, 363, F3, 47) (dual of [363, 211, 48]-code) [i]
23Linear OA(3153, 371, F3, 47) (dual of [371, 218, 48]-code) [i]
24Linear OA(3155, 388, F3, 47) (dual of [388, 233, 48]-code) [i]
25Linear OA(3156, 397, F3, 47) (dual of [397, 241, 48]-code) [i]
26Linear OA(3157, 406, F3, 47) (dual of [406, 249, 48]-code) [i]
27Linear OA(3158, 415, F3, 47) (dual of [415, 257, 48]-code) [i]
28Linear OA(3167, 509, F3, 47) (dual of [509, 342, 48]-code) [i]
29Linear OA(3170, 545, F3, 47) (dual of [545, 375, 48]-code) [i]
30Linear OA(3177, 640, F3, 47) (dual of [640, 463, 48]-code) [i]
31Linear OA(3178, 655, F3, 47) (dual of [655, 477, 48]-code) [i]
32Linear OA(3179, 670, F3, 47) (dual of [670, 491, 48]-code) [i]
33Linear OA(3183, 735, F3, 47) (dual of [735, 552, 48]-code) [i]
34Linear OA(3196, 994, F3, 47) (dual of [994, 798, 48]-code) [i]
35Linear OA(3212, 1446, F3, 47) (dual of [1446, 1234, 48]-code) [i]
36Linear OA(3231, 2263, F3, 47) (dual of [2263, 2032, 48]-code) [i]
37Linear OA(3232, 2317, F3, 47) (dual of [2317, 2085, 48]-code) [i]
38Linear OA(3236, 2547, F3, 47) (dual of [2547, 2311, 48]-code) [i]
39Linear OA(3237, 2608, F3, 47) (dual of [2608, 2371, 48]-code) [i]
40Linear OA(3243, 3006, F3, 47) (dual of [3006, 2763, 48]-code) [i]
41Linear OA(3247, 3305, F3, 47) (dual of [3305, 3058, 48]-code) [i]