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- W2027449972 abstract "A task of finding the set of simplest input/output descriptions for dynamical systems agreeing with partially specified input/output data, the partial input/ output problem (PIOP) lies at the foundations of syndrome decoding. Until the late 1960s, when Berlekamp and Massey published solutions without using Hankel matrices and with hard data constraints, the history of PIOP has been exclusively tied to Hankel matrices and to Padé (soft) data constraints. Using the new concept of minimal torsion spaces, we establish herein a modern algebraic framework for PIOP, obtain a complete solution without recourse to Hankel matrices and with hard data constraints, and present generalizations to the multiple sequence case of many of the Berlekamp—Massey results for scalar sequences." @default.
- W2027449972 created "2016-06-24" @default.
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- W2027449972 date "1975-10-01" @default.
- W2027449972 modified "2023-10-12" @default.
- W2027449972 title "Minimal torsion spaces and the partial input/output problem" @default.
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- W2027449972 doi "https://doi.org/10.1016/s0019-9958(75)90496-9" @default.
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