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Cross-interleaved RS (CIRS) code[1,2]

Description

An IRS code that is constructed using two shortened RS codes and two forms of interleaving. The code can also be visualized as a 2D array code [3].

Protection

Can correct burst errors [3].

Realizations

Compact discs (CDs); see [3][4; Sec. 5.6][5; Ch. 4].

Member of code lists

Primary Hierarchy

Classical Domain
Galois-field Kingdom
\(q\)-ary codeECC
Additive \(q\)-ary codeECC
Linear \(q\)-ary codeECC
Interleaved RS (IRS) code
Parents
Interleaved RS (IRS) code
Array codeDistributed-storage ECC
The CIRS code can also be visualized as a 2D array code [3].
Cross-interleaved RS (CIRS) code

References

[1]
L. B. Vries and K. Odaka, 1982, June. “CIRC-the error-correcting code for the compact disc digital audio system”. In Audio Engineering Society Conference: 1st International Conference: Digital Audio. Audio Engineering Society.
[2]
K. Odaka, Y. Sako, I. Iwamoto, T. Doi, and L. B. Vries, SONY: ERROR CORRECTABLE DATA TRANSMISSION METHOD (Patent US4413340) filing date May 21, 1980.
[3]
M. Blaum, P. G. Farrell, H. C. A. van Tilborg, 1998. Array codes. Handbook of coding theory, 2 (Part 2), pp. 1855-1909.
[4]
W. C. Huffman and V. Pless, Fundamentals of Error-Correcting Codes (Cambridge University Press, 2003) DOI
[5]
S. B. Wicker and V. K. Bhargava, “Reed-Solomon Codes and Their Applications”, (1999) DOI
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Zoo Code ID: cross_interleaved_reed_solomon

Cite as:
“Cross-interleaved RS (CIRS) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/cross_interleaved_reed_solomon
BibTeX:
@incollection{eczoo_cross_interleaved_reed_solomon, title={Cross-interleaved RS (CIRS) code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/cross_interleaved_reed_solomon} }
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Permanent link:
https://errorcorrectionzoo.org/c/cross_interleaved_reed_solomon

Cite as:

“Cross-interleaved RS (CIRS) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/cross_interleaved_reed_solomon

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/ag/reed_solomon/irs/cross_interleaved_reed_solomon.yml.