Sequences with almost perfect linear complexity profile defined by Niederre
iter (1997, Lecture Notes in Computer Science, Vol. 304, pp. 37-51, Springe
r-Verlag, Berlin/New York) are guile important for stream ciphers. In this
paper, we investigate multi-sequences with almost perfect linear complexity
profile and obtain a construction of such multi-sequences by using functio
n fields over finite fields. Some interesting examples from this constructi
on are presented to illustrate our construction. (C) 2000 Academic Press.