Geodesic
NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS
Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2.

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The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions. 
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     author = {Luque, Jean-Gabriel and Thibon, Jean-Yves},
     title = {NONCOMMUTATIVE {SYMMETRIC} {FUNCTIONS} {ASSOCIATED} {WITH} {A} {CODE,} {LAZARD} {ELIMINATION,} {AND} {WITT} {VECTORS}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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     number = {2},
     year = {2007},
     doi = {10.46298/dmtcs.378},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.378/}
}
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Luque, Jean-Gabriel; Thibon, Jean-Yves. NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS. Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2. doi : 10.46298/dmtcs.378. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.378/

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