Research Article
Automatic Search for the Linear (Hull) Characteristics of ARX Ciphers: Applied to SPECK, SPARX, Chaskey, and CHAM-64
Table 4
Linear characteristics for SPARX-64.
| | r | | | | | | | | | |
| | 1 | 0 | 0 s | 0000 | 0000 | 0080 | 4001 | 0000 | 0000 | 0000 | 0001 | 0 | 0 | 1 | 1 | 0 s | | 2 | 0 | 0 s | 0000 | 0000 | 0080 | 4001 | 0000 | 0000 | 0004 | 0004 | 0 | 0 | 1 | 1 | 0 s | | 3 | 1 | 0 s | 0000 | 0000 | 0080 | 4001 | 2C10 | 2010 | 2C1C | 201C | 1 | 10 | | 1 | 0 s | | 4 | 3 | 0 s | 0090 | 6021 | 0000 | 0000 | 0000 | 0000 | 0B00 | 0800 | 3 | 10 | | 1 | 0 s | | 5 | 5 | 0 s | 00A0 | 3021 | 0000 | 0000 | 0000 | 0000 | 85C2 | 8442 | 5 | 10 | | 3 | 3 s | | 6 | 7 | 0 s | 0080 | 5021 | 0000 | 0000 | 4285 | 4284 | 4385 | 4384 | 7 | 15 | | 11 | 22 s | | 7 | 11 | 3.2 m | 0090 | 6021 | 0000 | 0000 | 170B | 130A | 17CF | 130F | 11 | 17 | | 5 | 9 s | | 8 | 15 | 4.6 h | 0880 | 503D | 0090 | 6021 | 0000 | 0000 | 0E81 | 1EB0 | 15 | 20 | | 22 | 2 m | | 9 | 19 | 48.6 h | 0080 | 5021 | 2000 | 0058 | 2058 | 2040 | 3858 | 3840 | 19 | 25 | | 1215 | 28.7 h | | 10 | 22 | 3 d | 0080 | 4001 | 00C0 | F001 | 0205 | 0204 | 0205 | 0204 | 22 | 25 | | 144 | 1 h | | 11 | | 5 m | 0080 | 4001 | 00C0 | F001 | 38A8 | 2080 | 2058 | 2040 | 28 | 28 | | 1 | — |
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