Publication

On degraded two-message set broadcast

Christina Fragouli, Suhas Diggavi, Vinod Malathidevi Prabhakaran, Shirin Saeedi Bidokhti
2009
Conference Papers

Résumé

We consider the two message set problem, where a source broadcasts a common message W1 to an arbitrary set of receivers U and a private message W2 to a subset of the receivers P ⊆U . Transmissions occur over linear deterministic channels. For the case where at most two receivers do not require the private message, we give an exact characterization of the capacity region, where achievability is through linear coding.

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https://infoscience.epfl.ch/entities/publication/f45d28b0-90bf-4306-8767-9018f34fc065

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Christina Fragouli, Suhas Diggavi, Vinod Malathidevi Prabhakaran, Shirin Saeedi Bidokhti
2009
Conference Papers

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/f45d28b0-90bf-4306-8767-9018f34fc065

À propos de ce résultat

Concepts associés (19)

Split exact sequence

In mathematics, a split exact sequence is a short exact sequence in which the middle term is built out of the two outer terms in the simplest possible way. A short exact sequence of abelian groups or of modules over a fixed ring, or more generally of objects in an is called split exact if it is isomorphic to the exact sequence where the middle term is the direct sum of the outer ones: The requirement that the sequence is isomorphic means that there is an isomorphism such that the composite is the natural inclusion and such that the composite equals b.

Pure submodule

In mathematics, especially in the field of module theory, the concept of pure submodule provides a generalization of direct summand, a type of particularly well-behaved piece of a module. Pure modules are complementary to flat modules and generalize Prüfer's notion of pure subgroups. While flat modules are those modules which leave short exact sequences exact after tensoring, a pure submodule defines a short exact sequence (known as a pure exact sequence) that remains exact after tensoring with any module.

Module plat

La notion de module plat a été introduite et utilisée, en géométrie algébrique, par Jean-Pierre Serre. Cette notion se trouve également dans un ouvrage contemporain d'Henri Cartan et Samuel Eilenberg en algèbre homologique. Elle généralise les modules projectifs et a fortiori les modules libres. En algèbre commutative et en géométrie algébrique, cette notion a été notamment exploitée par Alexander Grothendieck et son école, et s'est révélée d'une importance considérable.

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Publications associées (6)

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We consider a 1-to-K communication scenario, where a source transmits private messages to K receivers through a broadcast erasure channel, and the receivers feedback strictly, causally, and publicly their channel states after each transmission. We explore ...

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Hang With Your Buddies to Resist Intersection Attacks

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Some anonymity schemes, such as DC-nets and MIX cascades, can guarantee anonymity even against traffic analysis – provided messages are independent and unlinkable. Users in practice often desire pseudonymity – sending messages intentionally linkable to eac ...

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Broadcasting and Multicasting Nested Message Sets

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Finding theoretical limits on the performance of communication systems and designing schemes to achieve them is one of the fundamental questions in information theory. While the theory of point-to-point communication is well-investigated, most problems hav ...

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