The cross sectional area of a main earthing conductor can be calculated using the adiabatic equation or selected from table 54.7.
However the size is also constrained by whether the earthing arrangement is TNCS or not and
by whether the earthing conductor is buried in the ground (normally only relevant for TT systems).
If the system is TNCS then the main earthing conductor is also a bonding conductor and is subject to the minimum csa for bonding conductors in table 54.8.
For a NEUTRAL supply conductor (this is actually the size of the incoming cable neutral, rather than the tails, which can be hard to determine) <=35mm² then the EC must be >=10mm².
For a buried earthing conductor that is a mechanically protected and sheathed cable then the minimum is 2.5mm² or if it is not in conduit or other protection from mechanical damage then a minimum of 16mm².
Once you have covered those two items then you can use table 54.7 to select the size of the EC.
For a LINE conductor size (again incoming supply cable csa) between 16mm² and 35mm² the minimum csa of the EC is 16mm².
However using the table may well mean that your EC is over sized and if this is a relevant factor then using the adiabatic equation can permit a smaller csa to be used, saving money and resources.
Using the adiabatic equation may seem long winded but once you are familiar with it it is not too bad.
As Tel has said the time, t, is the time in which the protective device will operate at the fault current, I, so this does have to be looked up before using the equation.
In your example you have the correct time as an 80 A BS88-3 fuse will disconnect in a fraction more than 0.4s at 793A.
The table in the top right of each time current graph gives the fault currents required for different disconnection times and the 80A BS88-3 will disconnect in 0.4s if the fault current is 800A.