Bounds for codes in the Grassmann manifold

Christine Bachoc; Yael Ben-Haim; Simon Litsyn

doi:10.1109/EEEI.2006.321075

Bounds for codes in the Grassmann manifold

Christine Bachoc^*, Yael Ben-Haim, Simon Litsyn

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Upper bounds are derived for codes in the Grass-mann manifold with given minimum chordal distance. They stem from upper bounds for codes in the product of unit spheres and projective spaces. The new bounds are asymptotically better than the previously known ones.

Original language	English
Title of host publication	2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI
Pages	25-29
Number of pages	5
DOIs	https://doi.org/10.1109/EEEI.2006.321075
State	Published - 2006
Event	2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI - Eilat, Israel Duration: 15 Nov 2006 → 17 Nov 2006

Publication series

Name	IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings

Conference

Conference	2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI
Country/Territory	Israel
City	Eilat
Period	15/11/06 → 17/11/06

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10.1109/EEEI.2006.321075

Cite this

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title = "Bounds for codes in the Grassmann manifold",

abstract = "Upper bounds are derived for codes in the Grass-mann manifold with given minimum chordal distance. They stem from upper bounds for codes in the product of unit spheres and projective spaces. The new bounds are asymptotically better than the previously known ones.",

author = "Christine Bachoc and Yael Ben-Haim and Simon Litsyn",

year = "2006",

doi = "10.1109/EEEI.2006.321075",

language = "אנגלית",

isbn = "1424402301",

series = "IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings",

pages = "25--29",

booktitle = "2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI",

note = "2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI ; Conference date: 15-11-2006 Through 17-11-2006",

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Bachoc, C, Ben-Haim, Y & Litsyn, S 2006, Bounds for codes in the Grassmann manifold. in 2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI., 4115238, IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings, pp. 25-29, 2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI, Eilat, Israel, 15/11/06. https://doi.org/10.1109/EEEI.2006.321075

Bounds for codes in the Grassmann manifold. / Bachoc, Christine; Ben-Haim, Yael; Litsyn, Simon.
2006 IEEE 24th Convention of Electrical and Electronics Engineers in Israel, IEEEI. 2006. p. 25-29 4115238 (IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Bounds for codes in the Grassmann manifold

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