Design of a New Balanced File Organization Scheme With the Least Redundancy

A new balanced file organization scheme of order two for binary-valued records is given which we call HUBFS 2 (Hiroshima University balanced file organization scheme). It can be constructed for a wide range of parameters as is in NBFS 2 . Moreover, it has the least redundancy among the file organization schemes of order two under a general class of probability distribution of records having the invariance property in permutation of attributes. Our scheme is superior to the corresponding NBFS 2 due to Chow as well as BFS 2 due to Abraham, Ghosh, and Ray-Chaudhuri so far as the redundancy is concerned.