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Fountain codes based on non-binary low-density parity-check (LDPC) codes have good decoding performance when the number of source packets is finite. However, the space complexity of the decoding algorithm for fountain codes based on non-binary LDPC codes grows exponentially with the degree of a field extension. Zigzag decodable codes generate the output packets from source packets by using shift and...
In the literature, many cryptosystems are based on the Strong Diffie-Hellman (SDH) and related problems. If cryptosystems based on the SDH problem use general domain parameters, this leads to a significant security loss. However, domain parameters in standards (e.g., SEC 2, ANSI X9.62/63, IEEE 1363, NIST SP 800-56) are susceptible to Cheon's algorithm [10], [11]. In this paper, we propose an algorithmic...
Index-less indexed flash code (ILIFC) has excellent worst-case performance. The layered ILIFC (L-ILIFC) method proposed by Suzuki and Wadayama enables a change of indices when the layer level of charge increases in a sub-block of memory cells. L-ILIFC allows a larger average number of rewrites than ILIFC. Kuribara and Fujisawa developed the L-ILIFC to improve the average-case performance. We call...
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