### Abstract

Original language | English |
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Publication date | 9 Dec 2009 |

Publication status | Published - 9 Dec 2009 |

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### Keywords

- Information theory

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*A note on the injection distance*..

**A note on the injection distance.** / Bulygin, Stanislav; Geil, Hans Olav; Ruano Benito, Diego.

Research output: Other contribution › Net publication - Internet publication › Research

TY - ICOMM

T1 - A note on the injection distance

AU - Bulygin, Stanislav

AU - Geil, Hans Olav

AU - Ruano Benito, Diego

N1 - Senest ændret: 09/12/2009

PY - 2009/12/9

Y1 - 2009/12/9

N2 - Koetter and Kschischang showed in [R. Koetter and F.R. Kschischang, "Coding for Errors and Erasures in Random Network Coding," IEEE Trans. Inform. Theory, {54(8), 2008] that the network coding counterpart of Gabidulin codes performs asymptotically optimal with respect to the subspace distance. Recently, Silva and Kschischang introduced in [D. Silva and F.R. Kschischang, "On Metrics for Error Correction in Network Coding," To appear in IEEE Trans. Inform. Theory, ArXiv: 0805.3824v4[cs.IT], 2009] the injection distance to give a detailed picture of what happens in noncoherent network coding. We show that the above codes are also asymptotically optimal with respect to this distance.

AB - Koetter and Kschischang showed in [R. Koetter and F.R. Kschischang, "Coding for Errors and Erasures in Random Network Coding," IEEE Trans. Inform. Theory, {54(8), 2008] that the network coding counterpart of Gabidulin codes performs asymptotically optimal with respect to the subspace distance. Recently, Silva and Kschischang introduced in [D. Silva and F.R. Kschischang, "On Metrics for Error Correction in Network Coding," To appear in IEEE Trans. Inform. Theory, ArXiv: 0805.3824v4[cs.IT], 2009] the injection distance to give a detailed picture of what happens in noncoherent network coding. We show that the above codes are also asymptotically optimal with respect to this distance.

KW - Information theory

M3 - Net publication - Internet publication

ER -