R.I. Tanaka's scientific contributions

Citations

... There is no inter-modular carry that runs from one modular digit to another. Hence, this nontraditional representation segments the working arithmetic domain into shorter independent sub-domains and arithmetically operates on these sub-domains as far as addition, subtraction, and multiplication are concerned [1,2]. This important feature has qualified RNS to be a carry-free number system and led it to be an efficient tool in many applications, such as: digital filters [3,4], DNA computations [5], communication systems [6], cryptography [7,8], and other important applications [2]. ...