Table1: Classification of periodic Golay pairs of length v, PGP(v) | ||
---|---|---|
v | Number of equivalence classes | List of representatives of each equivalence class |
2 | 1 | [[-1,1], [1,1]] |
4 | 1 | [[-1,1,1,1], [-1,1,1,1]] |
8 | 2 | [ [ -1,-1, -1, 1, -1, 1, 1, 1 ], [ -1, 1, 1, -1, 1, 1, 1, 1 ] ], |
10 | 1 | [ [ -1, -1, 1, 1, 1, 1, -1, 1, -1, 1 ], [ -1, -1, 1, 1, 1, 1, 1, -1, 1, 1 ]] |
16 | 11 | v16reps.txt |
20 | 34 | v20reps.txt |
26 | 53 | v26reps.txt |
32 | 838 | v32reps.txt |
34 | 373 | v34reps.txt |
40 | ≥ 323 | v40reps.txt |
Table 2: PBD(v, {ka, kb}, λ) classifications with automorphism group Cv corresponding to the existence of PGP(v) | |||||
---|---|---|---|---|---|
v | {ka, kb} | r | λ | Number of isomorphism classes | List of representatives of each isomorphism class |
2 |
[1,0] [2,1] |
1 3 |
0 2 |
1 1 |
blocks:=[ [ 1 ], [ 2 ] ]
blocks:=[ [ 1 ], [ 1, 2 ], [ 1, 2 ], [ 2 ] ] |
4 |
[1,1] [3,1] [3,3] |
2 4 6 |
0 2 4 |
1 1 1 |
PBDs_v4_r2.txt
PBDs_v4_r4.txt PBDs_v4_r6.txt |
8 |
[4,2] [6,4] |
6 10 |
2 6 |
2 2 |
PBDs_v8_r6.txt PBDs_v8_r10.txt |
10 |
[4,3] [6,3] [7,4] [7,6] |
7 9 11 13 |
2 4 6 8 |
2 2 2 2 |
PBDs_v10_r7.txt PBDs_v10_r9.txt PBDs_v10_r11.txt PBDs_v10_r13.txt |
16 |
[6,6] [10,6] [10,10] |
12 16 20 |
4 8 12 |
16 30 16 |
PBDs_v16_r12.txt PBDs_v16_r16.txt PBDs_v16_r20.txt |
20 |
[9,7] [11,7] [13,9] [13,11] |
16 18 22 24 |
6 8 12 14 |
112 112 112 112 |
PBDs_v20_r16.txt PBDs_v20_r18.txt PBDs_v20_r22.txt PBDs_v20_r24.txt |
26 |
[11,10] [15,10] [16,11] [16,15] |
21 25 27 31 |
8 12 14 18 |
204 204 204 204 |
PBDs_v26_r21.txt PBDs_v26_r25.txt PBDs_v26_r27.txt PBDs_v26_r31.txt |
32 |
[16,12] [20,16] |
28 36 |
12 20 |
5104 5104 |
PBDs_v32_r28.txt PBDs_v32_r36.txt |
34 |
[16,13] [18,13] [21,16] [21,18] |
29 31 37 39 |
12 14 20 22 |
1464 1464 1464 1464 |
PBDs_v34_r29.txt PBDs_v34_r31.txt PBDs_v34_r37.txt PBDs_v34_r39.txt |
40 |
[18,16] [22,16] [24,18] [24,22] |
34 38 42 46 |
14 18 22 26 |
≥ 565 |
PBDs_v40_r34.txt |