Hill projective-cap code[1]

Description

Member of a projective code family that contains of \(q\)-ary sharp configurations and that is constructed using projective caps.

Parent

Projective geometry code

Cousin

\(q\)-ary sharp configuration — Hill projective-cap codes for \(n=56\) and \(78\) are \(q\)-ary sharp configurations [2; Table 12.1].

References

[1]: Hill, R. (1973). Caps and groups. Colloquio Internazionale sulle Teorie Combinatorie (Rome, 1973), 2, 389-394.
[2]: W. C. Huffman, J.-L. Kim, and P. Solé, Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) DOI

Page edit log

Victor V. Albert (2023-02-24) — most recent

Cite as:

“Hill projective-cap code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/hill_cap

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/q-ary_digits/projective/hill_cap.yml.