• Attacks on Integer-RLWE 

      Budroni, Alessandro; Chetioui, Benjamin; Franch, Ermes (Journal article; Peer reviewed, 2020)
      In 2019, Gu Chunsheng introduced Integer-RLWE, a variant of RLWE devoid of some of its efficiency flaws. Most notably, he proposes a setting where n can be an arbitrary positive integer, contrarily to the typical construction ...
    • Generalized low rank parity check codes 

      Franch, Ermes; Gaborit, Philippe; Li, Chunlei (Journal article, 2023)
      In this work we propose a family of Fq-linear lowrank parity check (LRPC) codes based on a bilinear product over Fmq defined by a generic 3-tensor over Fq. A particular choice of this tensor corresponds to the classical ...
    • Low-Rank Parity-Check codes : Generalization and Improved Decoding for Low-Rank Parity-Check Codes 

      Franch, Ermes (Doctoral thesis, 2024-08-23)
      I 1978 foreslo McEliece en kryptografisk nøkkelforankringsmekanisme basert på kodeteori. Det underliggende matematiske problemet med å dekode en tilfeldig lineær kode ble bevist å være NP-fullstendig av McEliece og Berlekamp ...
    • Two new algorithms for error support recovery of low rank parity check codes 

      Franch, Ermes; Li, Chunlei (Journal article; Peer reviewed, 2023)
      Due to their weak algebraic structure, low rank parity check (LRPC) codes have been employed in several post-quantum cryptographic schemes. In this paper we propose new improved decoding algorithms for [n, k]qm LRPC codes ...