Minimum weights of the Gray images for q = 7 and size = 7^6:


To get more detailed infos about the codes, click on the entries in the table.
For an explanation of what the different colors mean, look below.

n212835424956637077849198105112119126133140147154161168175182189196203210217224231238245252259266273280287294301308315322329336343350357364371378385392399406413420427434441448455462469476483490497
lin. bounds13-1419-2024-2630-3236-3842-4447-5053-5658-6264-6870-7476-80
best6121824303642485460667278849096103108114121126133139145151153159165171177183189196202208214220225231238244250256262268274280286292298304310316322328335341347349355361367373379385392398404409
Z49-2+1+1+1+1714212828354249565663707784849198105112112119126133140140147154161168175175182189196203203210217224231238238245252259266273273280287294301301308315322329336343343350357364371378378385
Z49-2+2+1+17142128353542495663637077849198102105112119126133133140147154161168168175182189196202203210217224231238245245252259266273280280287294301308315322322329336343350357361364371378385392398399
Z49-2+2+26121824303642485460667278849096103108114121126133139145151153159165171177183189196202208214220225231238244250256262268274280286292298304310316322328335341347349355361367373379385392398404409

The color scheme indicates how the minimum distance of the Gray image compares to that of the best known linear codes over GF(7). It is as follows:
d There are linear codes over GF(7) with minimum distance higher than d.
d The best known linear codes over GF(7) have minimum distance d.
d It is possible that there are linear codes over GF(7) with minimum distance d or higher, but none is known yet (BTKL=better-than-known-linear).
d There are no linear codes over GF(7) with minimum distance d or higher (BTL=better-than-linear).
d There was no information about the corresponding linear codes over GF(7) in the database.

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