6 problems

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The conjecture that multi-antenna receivers are harder to attack under shared obfuscation
A single-antenna transmitter obfuscates its transmitted signal with an obfuscation sequence. A multi-antenna receiver has multiple antenna elements, all of which observe the same o…
Conjectureopenphysical-layer-security radio-localization wireless-securityarXiv posted 2 days ago
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Conjecture on sum-rate maximization with a small degrees-of-freedom margin
In a finite-blocklength secure communication system, let the degrees-of-freedom margin be small compared to the number of legitimate users. The sum-rate tradeoff conjecture. Focusi…
Conjectureopenfinite-blocklength physical-layer-security wireless-communicationsarXiv posted 2 days ago
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The polynomial-time hardness conjecture for GapSVP in dimension $n_t$
GapSVP hardness conjecture. No polynomial-time algorithm exists for ${\mathsf{GapSVP}}_{\mathrm{poly}(n_t)}$ in dimension $n_t$ . Consequently, under this conjecture and the hardnes…
Conjectureopencomplexity-theory lattice-based-cryptography physical-layer-securityarXiv posted 2 days ago
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The conjecture that GapSVP has no polynomial-time algorithm in dimension $n_t$
Let $n_t$ be the number of transmit antennas, and let $\mathsf{GapSVP}_{\mathrm{poly}(n_t)}$ denote the approximate shortest vector problem on lattices of dimension $n_t$ with appr…
Conjectureopencomplexity-theory lattice-based-cryptography physical-layer-securityarXiv posted 2 days ago
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Exponential convergence of the secrecy-rate gap with feedback bits
Let $N_f$ denote the number of quantized channel-feedback bits, and let the rate gap be the loss in secrecy rate due to quantization for fixed SNR and antenna configuration. Expone…
Conjectureopeninformation-theory physical-layer-security wireless-communicationsarXiv posted 2 days ago
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Conjecture that stronger malicious users reduce the secure capacity region
Stronger-security capacity conjecture. Under this stronger security definition, the capacity region is in general smaller than the capacity region derived under the original securi…
Conjectureopenbroadcast-channels information-theory physical-layer-securityarXiv posted 2 days ago

6 problems

The conjecture that multi-antenna receivers are harder to attack under shared obfuscation

Conjecture on sum-rate maximization with a small degrees-of-freedom margin

The polynomial-time hardness conjecture for GapSVP in dimension ntn_tnt​

The conjecture that GapSVP has no polynomial-time algorithm in dimension ntn_tnt​

Exponential convergence of the secrecy-rate gap with feedback bits

Conjecture that stronger malicious users reduce the secure capacity region

The polynomial-time hardness conjecture for GapSVP in dimension $n_t$

The conjecture that GapSVP has no polynomial-time algorithm in dimension $n_t$