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Rank-SD

Rank syndrome decoding

Syndrome decoding in the rank metric over F_(q^m); n, m, k and rank weight are separate parameters.

Classical · general m/n

Fix q,m/n,k/n,r/n

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ClassicalSource asymptotic analysisRandom rank-metric codesParameterized in q,m,n,k,r
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Comparison definition & assumptions
Regime
Fix q,m/n,k/n,r/n
Computation
Classical
Rigor
Source asymptotic analysis
Instances
Random rank-metric codes
Cost scale
Parameterized in q,m,n,k,r
Parameter
q,m,n,k,r
Description
Rank decoding with arbitrary extension ratio.
Comparison rules
Keep q, m/n, k/n and r/n fixed. Polynomial and exponential factors use the source’s F_q operation model. A point with m=n belongs in the square-regime list.
Tags
rank metric, parameterized