Marcelop, hello!
You could also look at the USA AMA Site for ideas about sizes (may have to convert to metric). AMA is our National Model Aviation organization. We have plenty of rules for plenty of 'competition' events, and the rules point out good safety procedures, too. The AMA site is at
www.modelaircraft.org , and you don't need to be a member to view the rules. They are in the area of Publications, Competition Rules.
These events score for high speed, low speed and arrested landing. Real Naval carrier aircraft have to get to their patrol sector quickly, and linger there for the necessary patrol time. AND of course they need to return to their Carrier afterward. Throttled engines needed for competition. For fun flying, any of these - or none of them - are
required. The rule book shows (last time I looked) the deck's arc shape. We do fly in a circle, right? The contest events involve speed timing, so line length is based on that. Two basic sizes - about 60 feet and 52 feet
from handle to centerline of model. The line lengths are "60 feet" for larger engines and "52.5 feet" for 2.5cc (.15 cubic inch) engine events.
Most "carrier decks" are built of series of wedge-shaped pieces of plywood decking, supported on a frame of 2" by 4" (about 5cm by 10cm?) wood. Such decks have a way to provide 'arresting lines.' Models need an arresting hook. 'Arrested' landing for is required for scoring. Even for fun flying, It IS a good idea to "catch" the model before it runs off the far edge of whatever the deck is.
The arc sections can be stacked on a low, platform trailer and set up in a reasonable length of time. If you want to use the
idea of a carrier deck, our rules also show a way to mark out the arc on a grass field by using the arresting "wires" - (usually strong cord) across the deck. Sandbags at the ends of those can stop the model without damaging it. This is much less fuss and nuisance. The rulebook diagram should give you good ideas for what you'd need and enjoy.
Carrier events are again getting popular in the USA in recent years. Like anything else in control-line, once you master simply boring holes in the sky, they can become VERY "boring" holes in the sky. Carrier, Combat, Stunt, Racing and Scale can add challenge beyond just flying flat and landing without damage! You don't have to try them all, but they are there if you become interested...
Many years ago, one club up here built a simulated "island" to put alongside their deck. Called it the USS Small Fry if I recall. Fun, and newsworthy...
Best thoughts!