Coded Caching for Content Distribution Urs Niesen MobiHoc 2018 - PowerPoint PPT Presentation

Recall: Uncoded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 , B 2 A 1 , B 1 A 1 , B 1

Recall: Uncoded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 , B 2 A B A 1 , B 1 A 1 , B 1

Recall: Uncoded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 , B 2 A B A 1 , B 1 A 1 , B 1 ⇒ Multicast only possible for users with same demand

Recall: Uncoded Scheme N = 2 files, K = 2 users, cache size M = 1 R 2 uncoded scheme coded scheme 1 0 M 0 1 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A B

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 B 1 A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 B 1 A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 ⊕ B 1 A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 ⊕ B 1 A B A 1 , B 1 A 2 , B 2

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 B 1 , B 2 A 2 ⊕ B 1 A B A 1 , B 1 A 2 , B 2 ⇒ Different cache content at users ⇒ Coded multicast to 2 users with different demands

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 A 1 , A 2 A 1 , A 2 B 1 , B 2 B 1 , B 2 B 2 ⊕ A 1 B 2 ⊕ B 1 B A B B A 1 , B 1 A 2 , B 2 A 1 , B 1 A 2 , B 2 A 1 , A 2 A 1 , A 2 B 1 , B 2 B 1 , B 2 A 2 ⊕ A 1 A 2 ⊕ B 1 A A A B A 1 , B 1 A 2 , B 2 A 1 , B 1 A 2 , B 2 ⇒ Works for all possible user requests ⇒ Simultaneous coded multicasting gain

Proposed Coded Scheme N = 2 files, K = 2 users, cache size M = 1 R 2 uncoded scheme coded scheme 1 0 M 0 1 2

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A B C

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 , A 3 ⊕ C 1 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 , A 3 ⊕ C 1 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 , A 3 ⊕ C 1 , B 3 ⊕ C 2 A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 , A 3 ⊕ C 1 , B 3 ⊕ C 2 A B C A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 A 1 , A 2 , A 3 B 1 , B 2 , B 3 C 1 , C 2 , C 3 A 2 ⊕ B 1 , A 3 ⊕ C 1 , B 3 ⊕ C 2 A B C A 1 , B 1 , C 1 A 2 , B 2 , C 2 A 3 , B 3 , C 3 ⇒ Coded multicast to 2 users with different demands

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 1 R 3 uncoded scheme coded scheme 2 1 0 M 0 1 2 3

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2 A B C

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2 A 12 , A 13 , A 23 B 12 , B 13 , B 23 C 12 , C 13 , C 23

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2 A 12 , A 13 , A 23 B 12 , B 13 , B 23 C 12 , C 13 , C 23 A 12 , B 12 , C 12 A 12 , B 12 , C 12 A 13 , B 13 , C 13 A 13 , B 13 , C 13 A 23 , B 23 , C 23 A 23 , B 23 , C 23

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2 A 12 , A 13 , A 23 B 12 , B 13 , B 23 C 12 , C 13 , C 23 A 12 , B 12 , C 12 A 12 , B 12 , C 12 A 13 , B 13 , C 13 A 13 , B 13 , C 13 A 23 , B 23 , C 23 A 23 , B 23 , C 23

Proposed Coded Scheme N = 3 files, K = 3 users, cache size M = 2 A 12 , A 13 , A 23 B 12 , B 13 , B 23 C 12 , C 13 , C 23 A 12 , B 12 , C 12 A 12 , B 12 , C 12 A 13 , B 13 , C 13 A 13 , B 13 , C 13 A 23 , B 23 , C 23 A 23 , B 23 , C 23