M-ary even nonzero symbol and run-length limited code for multilevel read only memory

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M-ary even nonzero symbol and run-length limited code for multilevel read only memory

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A new type of M-ary (M>2) RLL codes called M-ary even nonzero symbol and run-length limited (ENSRLL) codes is proposed. The finite-state transition-diagram and the Shannon capacity of M-ary (d, k)ENSRLL codes are presented. Furthermore, a highly efficient 6-ary (1, 6)ENSRLL code is constructed using the sliding-block (ACH) algorithm. The proposed code has the virtue of a simple coding table and a decoder with sliding window of length 2.

Inspec keywords: block codes; finite state machines; runlength codes; read-only storage

Other keywords: Shannon capacity; run-length limited code; multilevel read only memory; sliding-block algorithm; M-ary even nonzero symbol; finite-state transition-diagram

Subjects: Memory circuits; Codes; Semiconductor storage

References

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      • Wu, K., Howe, D., Tsai, S-Y.: `Recording of multi-level run-length-limited (ML-RLL) modulation signals on phase-change optical discs', Optical Data Storage Conf. Tech. Dig., 2003, p. 252–254.
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      • H. Hu , L. Pan , D. Xu . 3-ary (2, 10) run-length limited code for optical storage channels. Electron. Lett. , 17 , 972 - 973
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      • O'Neill, M.P., Wong, T.L.: `Multi-level data storage system using phase-change optical discs', Optical Data Storage Top. Meet., 2000, p. 170–173.
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