Minimum weights of the Gray images for q = 4 and size = 4^5:


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.

n12162024283236404448525660646872768084889296100104108112116120124128132136140144148152156160164168172176180184188192196200204208212216220224228232236240244248252256260264268272276280284288292296300304308312316320324328332336340344348352356360364368372376380384388392396
lin. bounds6912161821242830-3133364042-4345-4648525557-5860-616466-6769-7072-7375-767981-82848890-9193-949699-100102-103105-106108-109112114-115118121124128129-130132-133136139142144148151154157160163166169172176178181184188192
best48121216192224283235374044485053566062646870737680848888929698100104108110112116120121124128132134136140144146149152156158161164168170173176180184188192192194197200204208209212216220224224228232236240240242245248252256257260264266269272276278281284288290293
F4[X,F]/(X^2)-2+1+1+14881216202424283236404448484852566064646872768080848888929696100104108108112116120124128128132136140144144144148152156160160164168172176180184188192192192192196200202204208212216216220224228232236240240240244248252256256260264268272272276280280284288288
F4[X,F]/(X^2)-2+2+148121216192224283235374044485053566062646870737680848888929698100104108110112116120121124128132134136140144146149152156158161164168170173176180182185188192194197200204208209212216220224224228232236240240242245248252256257260264266269272276278281284288290293
F4[X]/(X^2)-2+1+1+14881216202424283236404448484852566064646872768080848888929696100104108108112116120124128128132136140144144144148152156160160164168172176180184188192192192192196200202204208212216216220224228232236240240240244248252256256260264268272272276280280284288288
F4[X]/(X^2)-2+2+148121216192224283235374044485053566062646870737680848888929698100104108110112116120121124128132134136140144146149152156158161164168170173176180182185188192194197200204208209212216220224224228232236240240242245248252256257260264266269272276278281284288290293
GR(16,4)-2+1+1+14881216202424283236404448484852566064646872768080848888929696100104108108112116120124128128132136140144144144148152156160160164168172176180184188192192192192196200202204208212216216220224228232236240240240244248252256256260264268272272276280280284288288
GR(16,4)-2+2+148121216192224283235374044485053566062646870737680848888929698100104108110112116120121124128132134136140144146149152156158161164168170173176180182185188192194197200204208209212216220224224228232236240240242245248252256257260264266269272276278281284288290293

The color scheme indicates how the minimum distance of the Gray image compares to that of the best known linear codes over GF(4). It is as follows:
d There are linear codes over GF(4) with minimum distance higher than d.
d The best known linear codes over GF(4) have minimum distance d.
d It is possible that there are linear codes over GF(4) with minimum distance d or higher, but none is known yet (BTKL=better-than-known-linear).
d There are no linear codes over GF(4) with minimum distance d or higher (BTL=better-than-linear).
d There was no information about the corresponding linear codes over GF(4) in the database.

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