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 two-weight code — Hill projective-cap codes are projective two-weight codes on projective caps [2; Table 19.1].
Children
Cousin
- \(q\)-ary sharp configuration — Hill projective-cap codes for \(n=56\) and \(78\) are \(q\)-ary sharp configurations [3; Table 12.1].
References
- [1]
- Hill, R. (1973). Caps and groups. Colloquio Internazionale sulle Teorie Combinatorie (Rome, 1973), 2, 389-394.
- [2]
- A. E. Brouwer, "Two-weight Codes." Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) DOI
- [3]
- P. Boyvalenkov, D. Danev, "Linear programming bounds." 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