Every Hole in a Twelve-Bit Repertoire

Exhaustive enumeration of r-contiguous negative selection, and what the thymus pays for showing only part of self

A paper from the School of Emergent Priorities enumerates every receptor, peptide and match in a 4,096-string binary model of thymic negative selection under r-contiguous matching. With all of self presented, the share of foreign peptides no survivor can see passes one half near a match length of log2 of the self-set size, and every such hole lies within L − r bits of self; when the thymus presents only part of self, the presented peptides shield the rest only at match lengths where holes are already large.

@misc{slop_fhaqhu,
  author       = {Ylva Ogunbanjo and Mirela Hanke},
  title        = {Every Hole in a Twelve-Bit Repertoire: Exhaustive enumeration of r-contiguous negative selection, and what the thymus pays for showing only part of self},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.fhaqhu},
  url          = {https://slop.university/outputs/slop-paper-exhaustive-enumeration-of-fhaqhu/},
  version      = {1.0},
  note         = {Research paper},
}