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A222136
Number of Fractional Repetition codes for n nodes.
1
1, 3, 4, 10, 8, 16, 19, 28, 17, 50, 23, 48, 59, 68, 34, 96, 40, 115, 101, 96, 52, 181, 98, 120, 134, 191, 73, 268, 81, 209, 190, 173, 214, 361, 104, 201, 234, 390, 118, 428, 126, 350, 411, 261, 140, 560, 247, 425, 337, 439, 165, 566, 397, 615, 391, 350, 189, 920
OFFSET
3,2
COMMENTS
Table II of Anil. In a distributed storage systems (DSS), regenerating codes are used to optimize bandwidth in the repair process of a failed node. To optimize other DSS parameters such as computation and disk I/O, Distributed Replication-based Simple Storage (Dress) Codes consisting of an inner Fractional Repetition (FR) code and an outer MDS code are commonly used.
LINKS
Srijan Anil, Manish K. Gupta, T. Aaron Gulliver, Enumerating Some Fractional Repetition Codes, arXiv:1303.6801v1 [cs.IT], Mar 27, 2013.
T. Aaron Gulliver, No. of nodes n/No. of FR codes possible (gives more data for b-file).
T. Aaron Gulliver, No. of nodes n/No. of FR codes possible (gives more data for b-file). [Cached copy, with permission; pdf format only]
CROSSREFS
Sequence in context: A361655 A343876 A356150 * A339652 A279787 A128488
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Mar 27 2013
EXTENSIONS
Terms a(11) and beyond from b-file by Andrew Howroyd, Feb 05 2018
STATUS
approved