W-0028
A superpermutation on 8 symbols, found by Jay Pantone jaypantone. It beat the previous record, W-0023, by 7 letters, and was the record for n = 8 from Sep 29 until Oct 19, 2026, when W-0073 was 3 letters shorter.
- Length
- 46,181
- Repeated occurrences
- 96
- Announced
- Sep 29, 2026
012345670123456071234560172345601273456012374560123547601235467012354607123546017235460127354601237546012357460123564701…
Windows
| 46,174 | windows of 8 consecutive letters | |
| = | 40,320 | distinct permutations, all 8! of them |
| + | 96 | repeated occurrences of a permutation |
| + | 5,758 | windows that are not permutations |
How it was found
Exactly the word of Pantone's 43/80 construction at 8 symbols; its existence is also proved in Lean (theorem word_eight).
Checking
| Program | Source | Result | Time |
|---|---|---|---|
| permcheck | c46d3654 | all 40,320 permutations appear | under 1 s |
| literal_check | f4687121 | agrees on coverage | under 1 s |
Download
Download Detour (.detour) 244 bytes, or 46.2 kB decoded
Download text (.txt) 46.2 kB
# check it yourself
detour decode W-0028.detour - | tr -d '\n' | shasum -a 256
tar xzf checkers-rs-source.tar.gz && cd checkers-rs && cargo build --release --locked
./target/release/classcheck 8 ../W-0028.detour 46181
./target/release/bitmapcheck 8 ../W-0028.detour 46181
./target/release/wordhash 8 ../W-0028.detour 46181
Decoding needs detour; see the Detour format for how to build and install it. The checkers are in checkers-rs-source.tar.gz, which needs Rust 1.89 or later; each one decodes the file itself, so the word is never written out.
The file's header gives n = 8 and sync exponent 0. The file has 1,197 tokens: 1 START, 1 literal of 1 byte in all, and 1,195 deviations. Deviations by weight, from 1 to 8: 96 · 384 · 715 · 0 · 0 · 0 · 0 · 0.