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A construction is given for perfect linear ciphers that uses two digits of key per plaintext digit, which appears to be the minimum possible. The construction utilizes two shift-registers that are clocked at different speeds, and suggests a new type of random sequence generator in which two linear feedback shift-registers are clocked at different speeds and their contents combined at the lower clock rate. The effects of variable speed are analyzed, and the linear complexity of the sequences produced by such generators is determined.

Linear Ciphers and Random Sequence Generators with Multiple Clocks