UNB ECE4253 Digital Communications
Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

Addition and Multiplication Tables in Galois Fields GF(2m)

* See GF(2m) calculator tool.


Using the Galois Field GF(25) = GF(32) based on the primitive P(x) = x5 + x2 + 1 = (100101) = 37 (decimal)

Multiplication Table

× 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
112345678910111213141516171819202122232425262728293031
224681012141618202224262830571313159112123171929312527
336512151092427302920231817212219162526312813141181274
448121620242851139211729251014262630182215117331272319
551015201730271387225281922263116211411412318292436912
661210243020182119253113111715935231727292628221624148
771492827182129261920161583124172234131025121130251623
881624513212910226181573123202841217251930221462719113
991827181926211162531017244132231512233061520297142128
1010203013725192616144232939172751528228211131216121824
1111222992312018254152716136110232883302119245142617127
1212242021251311532327262221430186101171931172995482816
1313262317281167102916222712114320253118589419302421215
1414281829191153117313212301627217968262041024222523511
1515301725227823249614116311142126182912328192135102720
1616521102615312041713014271113298247232182592812193226
1717722143192428132710183214291226111922051166231530825
1818119216317422523620721826927102411251230133114281529
1919316621522123115281025926241127830132914207234181172
2020132526142331752881131618719103029916422227151224121
2121152630111742512223718829232241392861914271201653110
2222931184271312383019526122201129166251532110281772414
2323112822129109302213182031852514419152427121671326617
2424211315232623061119179428251122022143277311810816295
2525231411182852215124294101991630722721123168172013326
2626171172922121420315919242286132327110161883252115430
2727198324161162921145302213122331415202871017252918261
2828291313230277626424255191514181216171382021923111022
2929312276425191412178212310330281245726161315181122209
3030257239141611211812282527228151713124629342610201913
3131274191282332824716151120625292211014175263012291318

Select a primitive polynomial P(x)

2024-05-01 21:03:32 ADT
Last Updated: 2011-02-02
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...