Staggered Diagonal Embedding Based Linear Field Size Streaming Codes

Abstract

An (a, b, τ) streaming code is a packet-level erasure code that can recover under a strict delay constraint of τ time units, from either a burst of b erasures or else of a random erasures, occurring within a sliding window of time duration w. While rate-optimal constructions of such streaming codes are available for all parameters {a, b, τ, w} in the literature, they require in most instances, a quadratic, O(τ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> ) field size. In this work, we make further progress towards field size reduction and present rate-optimal O(τ) field size streaming codes for two regimes: (i) gcd(b, τ + 1 - a) ≥ a (ii) τ + 1 a + b and b mod a ϵ 0, a - 1.

Locations

• arXiv (Cornell University) - View - PDF
• 2022 IEEE International Symposium on Information Theory (ISIT) - View