Aeroflot has invited bids to develop an integrated brand awareness package for its proposed low-cost subsidiary by September.
In the notice of procurement, Aeroflot says the name of the new operator should be between seven and nine characters long.
It expects contestants to create a "bright, recognisable and memorable visual identity for the low-cost carrier, including its logo, livery and personnel uniforms".
"It will perform flights with maximum duration of four hours," says Aeroflot. "On average, its flights will last less than two hours."
The as-yet-unnamed carrier is designed to focus primarily on providing domestic no-frills services for budget travellers.
But Aeroflot does not rule out that it could also enter foreign markets in the former Soviet states, as well as in western and eastern Europe.
Bidding is open until 16 May. Aeroflot plans to select the winner on 23 May, before signing its contract by 1 July. Design work should be completed over the next two months.