Mathematically extra-complicated Secretest Santa 2025

Tom Murphy VII explains how to design a mathematically secure Secret Santa protocol using group theory and cryptography.

Hmm, I wonder how long a light-hearted educational winter treat can get without invalidating its premise? Surely I can sneak in a couple group theory lectures and incorporate contributions from 12 other mathematicians (interpreted loosely. math is everywhere): Matt Godbolt: ⁨@MattGodbolt ⁩ Sam Hartburn: @samhartburn Sophie Maclean: @sophiemaclean9999 Ayliean MacDonald: @Ayliean Geoff Marshall: @geofftech2 jan Misali: @HBMmaster Self Citation: @tom7 Peter Rowlett: @peterrowlett Matt Parker: @standupmaths Kat Phillips: @KatDoesMaths Matthew Scroggs: @scroggs2 Ben Sparks: @SparksMaths Katie Steckles: @KatieSteckles Find your own Santa, or hack, or be hacked, at tom7.org/santa/ 119567580030005753169703087661737062297637343384390543394603122704997149598744681594034198988900094830962041201457240309874560186695018651901749792477400613856413753160717201561458414328282984908197812155699370142382890518545129979517102648795407304603728792928110898302099260986995529585272634310368988747334,188090696223600848188444929362897180667623659398684297512738033167388363936793070742251251360540546922279158977351154041814866599530114063881531830236865813471706017685682660977829260508952130093401888372638168411403021690628584807280735660666917775555467178355804759062676781693240982991908210809829226939560