Matches in SemOpenAlex for { <https://semopenalex.org/work/W154360706> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W154360706 abstract "It is well known that almost all random subset sum instances with density less than 0.6463... can be solved with an l2-norm SVP oracle by Lagarias and Odlyzko. Later, Coster et al. improved the bound to 0.9408... by using a different lattice. In this paper, we generalize this classical result to lp-norm. More precisely, we show that for p∈i¾?+, an lp-norm SVP oracle can be used to solve almost all random subset sum instances with density bounded by i¾?p, where i¾?1=0.5761 and $delta_p = 1/frac{1}{2^p}log_22^{p+1}-2+log_21+frac{1}{2^p-11-frac{1}{2^{p+1}-2}^{2^p-1}}$ for pi¾?3asymptotically, i¾?pi¾?2p/p+2. Since i¾?p goes increasingly to infinity when p tends to infinity, it can be concluded that an lp-norm SVP oracle with bigger p can solve more subset sum instances. An interesting phenomenon is that an lp-norm SVP oracle with pi¾?3 can help solve almost all random subset sum instances with density one, which are thought to be the most difficult instances." @default.
- W154360706 created "2016-06-24" @default.
- W154360706 creator A5055827071 @default.
- W154360706 creator A5056715913 @default.
- W154360706 creator A5091139467 @default.
- W154360706 date "2014-01-01" @default.
- W154360706 modified "2023-10-18" @default.
- W154360706 title "Solving Random Subset Sum Problem by l p -norm SVP Oracle" @default.
- W154360706 cites W1499237070 @default.
- W154360706 cites W1525538795 @default.
- W154360706 cites W1675339804 @default.
- W154360706 cites W1893972099 @default.
- W154360706 cites W1968182591 @default.
- W154360706 cites W1970422301 @default.
- W154360706 cites W1975859992 @default.
- W154360706 cites W2013794527 @default.
- W154360706 cites W2111416661 @default.
- W154360706 cites W2141040012 @default.
- W154360706 cites W2150780437 @default.
- W154360706 cites W2293438091 @default.
- W154360706 cites W4251436657 @default.
- W154360706 doi "https://doi.org/10.1007/978-3-642-54631-0_23" @default.
- W154360706 hasPublicationYear "2014" @default.
- W154360706 type Work @default.
- W154360706 sameAs 154360706 @default.
- W154360706 citedByCount "0" @default.
- W154360706 crossrefType "book-chapter" @default.
- W154360706 hasAuthorship W154360706A5055827071 @default.
- W154360706 hasAuthorship W154360706A5056715913 @default.
- W154360706 hasAuthorship W154360706A5091139467 @default.
- W154360706 hasBestOaLocation W1543607061 @default.
- W154360706 hasConcept C109275537 @default.
- W154360706 hasConcept C113138325 @default.
- W154360706 hasConcept C11413529 @default.
- W154360706 hasConcept C114614502 @default.
- W154360706 hasConcept C115903868 @default.
- W154360706 hasConcept C118615104 @default.
- W154360706 hasConcept C121332964 @default.
- W154360706 hasConcept C134306372 @default.
- W154360706 hasConcept C146324458 @default.
- W154360706 hasConcept C168482242 @default.
- W154360706 hasConcept C17744445 @default.
- W154360706 hasConcept C178489894 @default.
- W154360706 hasConcept C191795146 @default.
- W154360706 hasConcept C199539241 @default.
- W154360706 hasConcept C24890656 @default.
- W154360706 hasConcept C2781204021 @default.
- W154360706 hasConcept C33923547 @default.
- W154360706 hasConcept C34388435 @default.
- W154360706 hasConcept C41008148 @default.
- W154360706 hasConcept C55166926 @default.
- W154360706 hasConceptScore W154360706C109275537 @default.
- W154360706 hasConceptScore W154360706C113138325 @default.
- W154360706 hasConceptScore W154360706C11413529 @default.
- W154360706 hasConceptScore W154360706C114614502 @default.
- W154360706 hasConceptScore W154360706C115903868 @default.
- W154360706 hasConceptScore W154360706C118615104 @default.
- W154360706 hasConceptScore W154360706C121332964 @default.
- W154360706 hasConceptScore W154360706C134306372 @default.
- W154360706 hasConceptScore W154360706C146324458 @default.
- W154360706 hasConceptScore W154360706C168482242 @default.
- W154360706 hasConceptScore W154360706C17744445 @default.
- W154360706 hasConceptScore W154360706C178489894 @default.
- W154360706 hasConceptScore W154360706C191795146 @default.
- W154360706 hasConceptScore W154360706C199539241 @default.
- W154360706 hasConceptScore W154360706C24890656 @default.
- W154360706 hasConceptScore W154360706C2781204021 @default.
- W154360706 hasConceptScore W154360706C33923547 @default.
- W154360706 hasConceptScore W154360706C34388435 @default.
- W154360706 hasConceptScore W154360706C41008148 @default.
- W154360706 hasConceptScore W154360706C55166926 @default.
- W154360706 hasLocation W1543607061 @default.
- W154360706 hasLocation W1543607062 @default.
- W154360706 hasOpenAccess W154360706 @default.
- W154360706 hasPrimaryLocation W1543607061 @default.
- W154360706 hasRelatedWork W1742693351 @default.
- W154360706 hasRelatedWork W2246521597 @default.
- W154360706 hasRelatedWork W2261658345 @default.
- W154360706 hasRelatedWork W2529988950 @default.
- W154360706 hasRelatedWork W2554506275 @default.
- W154360706 hasRelatedWork W2594917320 @default.
- W154360706 hasRelatedWork W2609098951 @default.
- W154360706 hasRelatedWork W2770274520 @default.
- W154360706 hasRelatedWork W2795533425 @default.
- W154360706 hasRelatedWork W2937819376 @default.
- W154360706 hasRelatedWork W2949394968 @default.
- W154360706 hasRelatedWork W2953007955 @default.
- W154360706 hasRelatedWork W2963978011 @default.
- W154360706 hasRelatedWork W2964024102 @default.
- W154360706 hasRelatedWork W3041151068 @default.
- W154360706 hasRelatedWork W3083750962 @default.
- W154360706 hasRelatedWork W3095889816 @default.
- W154360706 hasRelatedWork W3100691122 @default.
- W154360706 hasRelatedWork W3175177152 @default.
- W154360706 hasRelatedWork W3196804066 @default.
- W154360706 isParatext "false" @default.
- W154360706 isRetracted "false" @default.
- W154360706 magId "154360706" @default.
- W154360706 workType "book-chapter" @default.