著者

Olav GEIL Stefano MARTIN Umberto MARTÍNEZ-PEÑAS Ryutaroh MATSUMOTO Diego RUANO

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (ISSN:09168508)

巻号頁・発行日

vol.E100.A, no.12, pp.2699-2708, 2017-12-01 (Released:2017-12-01)

参考文献数

32

被引用文献数

3

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Asymptotically good sequences of linear ramp secret sharing schemes have been intensively studied by Cramer et al. in terms of sequences of pairs of nested algebraic geometric codes [4]-[8], [10]. In those works the focus is on full privacy and full reconstruction. In this paper we analyze additional parameters describing the asymptotic behavior of partial information leakage and possibly also partial reconstruction giving a more complete picture of the access structure for sequences of linear ramp secret sharing schemes. Our study involves a detailed treatment of the (relative) generalized Hamming weights of the considered codes.

著者

Ryutaroh MATSUMOTO Manabu HAGIWARA

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (ISSN:09168508)

巻号頁・発行日

vol.E104-A, no.12, pp.1654-1664, 2021-12-01

被引用文献数

8

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This paper surveys development of quantum error correction. With the familiarity with conventional coding theory and tensor product in multi-linear algebra, this paper can be read in a self-contained manner.

著者

Ryutaroh Matsumoto

出版者

(社)電子情報通信学会

雑誌

IEICE Communications Express (ISSN:21870136)

巻号頁・発行日

vol.2, no.8, pp.343-346, 2013-08-15 (Released:2013-08-15)

参考文献数

5

被引用文献数

4

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We propose a Gilbert-Varshamov-type existential bound for the relative dimension length profile and the relative generalized Hamming weight of nested pairs of linear codes.