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Tuesday, September 20, 2022

Motif-Space Updates

Filed under: General — Tags: — m759 @ 3:55 am

A linear code of length 24, dimension 8, and minimum weight 8
(a "[24, 8, 8] code") that was discussed in recent posts tagged
Bitspace might, viewed as a vector space, be called "motif space."

Yesterday evening's post "From a Literature Search for Binary [24, 8, 8] Codes" 
has been updated.  A reference from that update —

Computer Science > Information Theory

arXiv:cs/0607074 (cs)

[Submitted on 14 Jul 2006]

On Construction of the (24,12,8) Golay Codes

Xiao-Hong Peng, Paddy Farrell

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Two product array codes are used to construct the (24, 12, 8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8, 4, 4) linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode.

Comments: To appear in IEEE Trans. on Information Theory Vol. 24 No. 8
Subjects: Information Theory (cs.IT)
Cite as: arXiv:cs/0607074 [cs.IT]

From Peng and Farrell, 2006 —

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