For October-November 2024, there are several web design competitions and awards with submission and voting deadlines. The most prominent ones are generally ongoing, with monthly or annual cycles.

Key Competitions and Awards
Awwwards: Awwwards is a major international competition that recognizes the best in web design. They have a continuous submission process for Website of the Day, which then qualifies for Website of the Month and ultimately Website of the Year. The voting for October and November Sites of the Month would take place during these months.

CSS Design Awards: Similar to Awwwards, CSS Design Awards is a well-regarded platform that celebrates exceptional websites. Submissions are accepted on a rolling basis for Website of the Day, Website of the Month, and Website of the Year. Therefore, submissions and voting would be active throughout October and November.

Red Dot Design Award: The Red Dot Award: Brands & Communication Design has specific submission periods, and while the 2024 winners for Brands & Communication Design were announced in October, the celebration and exhibition for these winners often take place in November. The entry periods for the 2025 competition often open in the fall of 2024.

How to Participate
Submission: To enter most of these awards, you must have a live, completed website. There is typically a submission fee.

Timeline: For monthly awards like those from Awwwards and CSS Design Awards, you can submit your project at any time. The site will be judged by a jury, and if it wins a "Site of the Day" honor, it will then be considered for the month's top prize.

Judging Criteria: Judges typically evaluate submissions based on creativity, usability, design, content, and development.

Keep in mind that while some competitions are annual with specific deadlines, many of the most prestigious web design awards operate on a continuous basis, with key announcements and voting occurring monthly.