Linear time erasure codes with nearly optimal recovery

  • Authors:
  • N. Alon;J. Edmonds;M. Luby

  • Affiliations:
  • -;-;-

  • Venue:
  • FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1995

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Abstract

An (n,c,l,r) erasure code consists of an encoding algorithm and a decoding algorithm with the following properties. The encoding algorithm produces a set of l-bit packets of total length cn from an n-bit message. The decoding algorithm is able to recover the message from any set of packets whose total length is r, i.e., from any set of r/l packets. We describe erasure codes where both the encoding and decoding algorithms run in linear time and where r is only slightly larger than n.