1 Introduction
2 Basic facts
3 Arcs in \(\mathbb Z^{2}_{2p}\)
4 Numerical results
m
| 4 | 6 | 8 | 9 | 10 | 12 | 14 | 15 | 16 | 18 | 20 | 21 | 22 | 24 | 25 |
\(\uptau (m)\)
| 6 | 8 | 8 | 9 | 12 | 12 | 12 | 15 | 14 | 17 | 18 | 18 |
18
|
20
| 20 |
m
| 26 | 27 | 28 | 30 | 32 | 33 | 34 | 35 | 36 | 38 | 39 | 40 |
\(\uptau (m)\)
| 20–28 | 20–28 | 22–32 | 23–30 | 23–35 | 23–36 | 22–36 | 26–40 | 25–36 | 23–40 | 25–42 | 26–40 |
m
|
k
| An arc of cardinality k over \(\mathbb Z^2_{m}\)
|
---|---|---|
26 | 20 | (0, 16) (0, 25) (2, 19) (2, 22) (4, 4) (4, 20) (5, 4) (7, 22) (8, 10) (9, 0) (11, 7) (13, 18) (13, 23) (15, 11) (16, 23) (18, 7) (21, 0) (22, 9) (25, 9) (25, 11) |
27 | 20 | (0,1) (0, 9) (2, 0) (2, 1) (3, 3) (6, 3) (6, 11) (7, 10) (13, 9) (13, 24) (15, 22) (16, 14) (16, 16) (18, 8) (20, 4) (20, 6) (21, 10) (23, 2) (23, 5) (25, 8) |
28 | 22 | (0, 21) (1, 22) (4, 23) (9, 13) (10, 7) (11, 8) (11, 17) (14, 22) (14, 27) (15, 20) (15, 23) (16, 14) (17, 2) (17, 20) (22, 12) (23, 17) (25, 4) (25, 7) (26, 12) (26, 13) (27, 2) (27, 18) |
30 | 23 | (4, 12) (5, 12) (5, 15) (6, 1) (6, 8) (7, 5) (7, 18) (9, 3) (13, 4) (13, 15) (14, 25) (17, 14) (18, 27) (19, 1) (19, 14) (20, 11) (20, 18) (21, 4) (21, 7) (22, 2) (23, 23) (26, 10) (27, 6) |
32 | 23 | (1, 22) (3, 13) (4, 15) (5, 12) (5, 22) (6,0) (6, 26) (7, 16) (11, 15) (12, 8) (14, 1) (16, 29) (16, 31) (18, 8) (19, 18) (24, 26) (25, 12) (26, 2) (26, 19) (28, 13) (29, 31) (31, 21) (31, 23) |
33 | 23 | (3, 7) (5, 22) (9, 15) (10, 27) (12, 7) (12, 26) (15, 27) (17, 25) (17, 26) (19, 10) (21, 0) (22, 5) (22, 32) (23, 5) (25, 12) (28, 0) (29, 9) (29, 21) (30, 22) (30, 23) (31,8) (31,31) (32,32) |
34 | 22 | (4,1) (4,19) (7,4) (7,8) (9,8) (12,7) (12,27) (16,3) (16, 12) (17, 11) (18, 0) (18, 14) (19, 10) (25, 5) (25, 19) (27, 30) (28, 30) (30, 10) (31, 3) (31, 13) (33, 2) (33, 7) |
35 | 26 | (0, 6) (6, 1) (6, 18) (8, 26) (9, 19) (9, 20) (12, 25) (17, 8) (17, 17) (18, 33) (19, 16) (19, 29) (21, 30) (23, 2) (23, 4) (25, 18) (25, 34) (26, 19) (27, 6) (29, 2) (30, 7) (30, 10) (31, 32) (32, 24) (33, 20) (34, 33) |
36 | 25 | (5, 24) (6, 9) (6, 32) (9, 25) (11, 24) (12, 21) (15, 7) (15, 13) (16, 2) (16, 25) (17, 30) (19, 27) (20, 35) (22, 1) (24, 8) (25, 9) (25, 15) (28, 32) (29, 4) (30, 2) (30, 27) (34, 19) (34, 26) (35, 4) (35, 18) |
38 | 23 | (1, 1) (6, 26) (6, 31) (7, 10) (7, 17) (8, 16) (8, 24) (9, 12) (10, 15) (10, 33) (11, 0) (11, 9) (12, 28) (14, 7) (16, 9) (21, 6) (21, 22) (23, 3) (26, 15) (26, 16) (33, 6) (33, 31) (35, 7) |
39 | 25 | (0, 12) (0, 31) (1, 9) (4, 13) (4, 32) (5, 10) (6, 14) (7, 32) (8, 0) (9, 33) (11, 11) (11, 14) (12, 30) (13, 30) (14, 1) (14, 24) (17, 2) (18, 17) (20, 10) (21, 38) (22, 9) (23, 33) (28, 4) (28, 37) (33, 28) |
40 | 26 | (0, 1) (0, 10) (1, 0) (2, 6) (3, 8) (3, 11) (4, 15) (7, 0) (7, 12) (9, 21) (10, 29) (10, 32) (11, 34) (12, 21) (21, 18) (23, 25) (24, 14) (26, 27) (29, 38) (32, 28) (32, 29) (33, 27) (36, 8) (38, 6) (39, 19) (39, 37) |