Research Article
Automatic Search for the Linear (Hull) Characteristics of ARX Ciphers: Applied to SPECK, SPARX, Chaskey, and CHAM-64
Table 10
35-round optimal linear trail for CHAM-64.
| r | | | r | | |
| 1 | 0000000000018000 | 0 | 19 | 0007010380C08000 | 1 | 2 | 0000000180000000 | 0 | 20 | 810080C080000700 | 2 | 3 | 0001800000000000 | 0 | 21 | 0001800007000201 | 0 | 4 | 0000000000000100 | 0 | 22 | 0000070002010100 | 0 | 5 | 0000000001000000 | 0 | 23 | 0700020101000000 | 2 | 6 | 0000010000000000 | 0 | 24 | 0001010000000006 | 0 | 7 | 0100000000000000 | 1 | 25 | 0000000000060002 | 0 | 8 | 00C0000000000001 | 1 | 26 | 0000000600020000 | 0 | 9 | 8000000000010100 | 1 | 27 | 0006000200000000 | 1 | 10 | 40000001010000C0 | 1 | 28 | 0000000000000400 | 0 | 11 | 0061010000C08000 | 1 | 29 | 0000000004000000 | 0 | 12 | 812000C080004100 | 4 | 30 | 0000040000000000 | 0 | 13 | 0041800041008201 | 1 | 31 | 0400000000000000 | 1 | 14 | 0030410082014100 | 3 | 32 | 0200000000000006 | 1 | 15 | 6500820141000060 | 3 | 33 | 0002000000060600 | 1 | 16 | A0C1410000600047 | 3 | 34 | 0001000606000200 | 0 | 17 | C080006000470103 | 2 | 35 | 0106060002000002 | 2 | 18 | 60000047010380C0 | 1 | 36 | 0682020000028401 | ā |
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