Details for entry $$A_2(18,6;7)$$

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lower bounds

• greedy_multicomponent (
q^55 + q^46 + 2*q^41 + q^40 + q^39 + 4*q^38 + 4*q^37 + 2*q^36 + 4*q^35 + 2*q^34 + 6*q^33 + 5*q^32 + 4*q^31 + q^30 + 7*q^29 + 2*q^28 + 4*q^27 + 7*q^26 + 4*q^25 + 4*q^24 + 10*q^23 + 4*q^22 + 5*q^21 + 6*q^20 + 6*q^19 + 8*q^18 + 5*q^17 + 6*q^16 + 3*q^15 + 3*q^14 + 2*q^13 + 4*q^12 + 2*q^11 + 5*q^10 + q^9 + q^8 + 3*q^7 + q^6 + q^2 + 2*q
) : 36107259887151304
• improved_linkage ( 7 ) : 36029898875065548
• multicomponent ( ) : 36029896532688897
• linkage_GLT ( 7 ) : 36028797018980637
• lin_poly ( ) : 36028797018963968
• sphere_covering ( ) : 17422072129066
• graham_sloane ( ) : 7551694649481
• trivial_1 ( ) : 0

bound for codes containing the lifted MRD code

(see EtzionSilberstein2012 and Heinlein2017 for details)
36283263176185312

Do you have better bounds?

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