Information on Result #640726
Linear OA(9141, 155, F9, 99) (dual of [155, 14, 100]-code), using concatenation of two codes based on
- linear OA(8124, 31, F81, 24) (dual of [31, 7, 25]-code or 31-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- linear OA(93, 5, F9, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9141, 155, F9, 98) (dual of [155, 14, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9140, 154, F9, 98) (dual of [154, 14, 99]-code) | [i] | Truncation | |
| 3 | Linear OA(9139, 153, F9, 97) (dual of [153, 14, 98]-code) | [i] | ||
| 4 | Linear OA(9138, 152, F9, 96) (dual of [152, 14, 97]-code) | [i] | ||
| 5 | Linear OA(9137, 151, F9, 95) (dual of [151, 14, 96]-code) | [i] | ||
| 6 | Linear OA(9135, 149, F9, 93) (dual of [149, 14, 94]-code) | [i] | ||
| 7 | Linear OA(9133, 147, F9, 91) (dual of [147, 14, 92]-code) | [i] | ||
| 8 | Linear OA(9132, 146, F9, 90) (dual of [146, 14, 91]-code) | [i] | ||