As mentioned in the Bionic Beaver release notes, Ubuntu 18.04 LTS will not have a 32 bit Desktop Image Installer. But in the beta 1 release it has 32bit Desktop Images.
This is little off topic, but I'm confused.
64-bit PC (AMD64) server install image: Choose this to take full advantage of. Ubuntu-14.04.5-desktop-amd64.iso 2016-08-03 17:49 1.0G Desktop image for. Select an image. Ubuntu is distributed on two types of images described below. Desktop image. The desktop image allows you to try Ubuntu without changing your computer at all, and at your option to install it permanently later.
If you want a 'clean and basic' iso file of Ubuntu Bionic to be released as 18.04 LTS, you can download a Ubuntu mini.iso alias Netboot iso file. There are versions for 32-bit as well as 64-bit kernels.
Themes for nokia asha 311 free download. During the development phase (until April 2018) you will find the Bionic mini.iso files
You will find more details and the released mini.iso files via this link,
You can use the mini.iso to install standard Ubuntu as well as the community flavours of Ubuntu. You can also create an Ubuntu Server or a custom system with only some manually selected program packages.
But Ubuntu Desktop (standard Ubuntu) and Ubuntu Server 18.04 LTS will only be released with 64-bit iso files (for standard PC computers) as described in the answer by @pomsky.
The link you provided is for Ubuntu Budgie, an official community-maintained flavour which uses the Budgie desktop environment, not for the 'standard' Ubuntu image (which uses GNOME desktop environment).
Ubuntu developers have decided to drop 32-bit image for vanilla Ubuntu (in fact it's already dropped, there is no Ubuntu 17.10 32-bit image), but (at least some of the) other flavours will continue supporting 32-bit system for now.
If you want to get a basic image for Ubuntu 18.04, see the answer by @sudodus.
For your information Ubuntu MATE has 32-bit installer.
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You can visit official website https://ubuntu-mate.org/download/ and choose 32-bit version.
Currently they provide both 16.04.5 LTS and 18.04.1 LTS.
If you need to download specific point release you can visit http://cdimage.ubuntu.com/ubuntu-mate/releases/ .
The announcement was never about the Ubuntu flavours like Ubuntu Budgie, but only about Ubuntu itself. Only the Desktop and Server 32-bit images for Ubuntu will go away.
Even the 32-bit repositories won't go away.
From what I've heard the netboot image will continue to be available for 32-bit (even if they won't be available you can just upgrade from a previous installation of that).