Minimum weights of the Gray images for q = 3 and size = 3^11:


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.

n18212427303336394245485154576063666972757881848790939699102105108111114117120123126129132135138141144147150153156159162165168171174177180183186189192195198201204207210213216219222225228231234237240243246249252255258261264267270273276279282285288291294297306315324333342351360369378387396405414423432441450459468477486495
lin. bounds57910-1112-1313-1515-1818-1919-2121-2423-2524-2727-2928-3130-3332-3533-3736-3937-4140-4342-4545-4747-4949-5151-5353-5554-5754-5956-6157-6360-6561-6763-6965-7167-7369-7572-7772-7975-8176-8378-8580-8782-8984-9185-9387-9590-9791-9993-10195-10396-10599-107101-109102-111105-113107-114108-116110-119112-121114-122116-124118-126120-128123-131125-133127-134129-137131-138134-140136-143139-144141-146144-148147-150150-152153-154
best346810121315181921222427283032333637394042454548505154555760616365666970727576788081848687909193959699101102105106108110112114116117120121123126127129131133135137139141143144147148150152154156158160162164165168170171173175177180183189195201207213219225231237243249252261267270276282288294300
Z27-3+3+3+2612182430363945545763697281879099102108114120126132138144147153162165171177183189195201207213219225231237243246252261267270276282288294300
Z3[X]/(X^2)-2+2+2+2+2+1346810121315171921222426283031333637394042454548505154545760616365666970727476788081848587899193959699100102104106108110112114116117119121123123131133135137143144146148150154156156159162163165167169171173175177
Z3[X]/(X^3)-3+3+3+2612182430363945545763697281879099102108114120126132138144147153162165171177183189195201207213219225231234243249252261264270276282288294300
Z9-2+2+2+2+2+1346810121315181921222427283032333537394042454548505154555760616365666970727576788081848687909193959699101102105106108110112114116117120121123126127129131133135137139141143144147148150152154156158160162164165168170171173175177
Z9[X]/(X^2+3,X^3)-3+3+3+2612182430363945545763697281879099102108114120126132138144147153162165171177183189195201207213219225231234243246252261264270276282288294300
Z9[X]/(X^2+6,X^3)-3+3+3+2612182430363945545763667281879099102108114120126132138144150153162165171180183189195201207213219225231237243249252261264270276282288294300

The color scheme indicates how the minimum distance of the Gray image compares to that of the best known linear codes over GF(3). It is as follows:
d There are linear codes over GF(3) with minimum distance higher than d.
d The best known linear codes over GF(3) have minimum distance d.
d It is possible that there are linear codes over GF(3) with minimum distance d or higher, but none is known yet (BTKL=better-than-known-linear).
d There are no linear codes over GF(3) with minimum distance d or higher (BTL=better-than-linear).
d There was no information about the corresponding linear codes over GF(3) in the database.

Back to main page