BIBDs with v = 13

Cyclic BIBDs with v=13
v b r k Found Comments Where
13 26 12 6 4 here
13 26 12 6 1 Near-Resolved here
13 39 12 4 10 here
13 39 12 4 3 Near-Resolved here
13 52 12 3 9 here
13 52 12 3 8 Near-Resolved here
13 78 12 2 14 Near-Resolved here

Some solutions based on groups of order 12.

Group 1: non-abelian. Relators of group: {a2b-1, b-1a-1ba, c-1a-1cac-1, b2, c-1b-1cb, c3}

BIBDs with v=13 based on Group 1 (of order 12)
v b r k Found Comments Where
13 52 12 3 6 here

Group 2: abelian (this is the cyclic group of order 12). Relators of group: {a2c-1, b-1a-1ba, c-1a-1ca, b2, c-1b-1cb, c2}

BIBDs with v=13 based on Group 2 (of order 12)
v b r k Found Comments Where
13 39 12 4 1 here

Group 3: non-abelian. Relators of group: {a3, b-1a-1bac-1b-1, c-1a-1cab-1, b2, c-1b-1cb, c2}

BIBDs with v=13 based on Group 3 (of order 12)
v b r k Found Comments Where
13 52 12 3 1 here

Group 4: non-abelian. Relators of group: {a2, b-1a-1ba, c-1a-1cac-1, b2, c-1b-1cb, c3}

BIBDs with v=13 based on Group 4 (of order 12)
v b r k Found Comments Where
13 52 12 3 4 here

Group 5: abelian. Relators of group: {a2, b-1a-1ba, c-1a-1ca, b2, c-1b-1cb, c3}

BIBDs with v=13 based on Group 5 (of order 12)
v b r k Found Comments Where
13 52 12 3 13 here
13 39 12 4 3 here

Last Updated on 18/10/2004
By D.H.Rees