Information on Result #1313136
Linear OA(972, 2039, F9, 22) (dual of [2039, 1967, 23]-code), using 1966 step Varšamov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 18 times 0, 1, 21 times 0, 1, 23 times 0, 1, 25 times 0, 1, 29 times 0, 1, 32 times 0, 1, 36 times 0, 1, 40 times 0, 1, 44 times 0, 1, 50 times 0, 1, 55 times 0, 1, 62 times 0, 1, 69 times 0, 1, 76 times 0, 1, 86 times 0, 1, 95 times 0, 1, 105 times 0, 1, 117 times 0, 1, 131 times 0, 1, 145 times 0, 1, 162 times 0, 1, 179 times 0, 1, 200 times 0) based on linear OA(922, 23, F9, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,9)), using
- dual of repetition code with length 23 [i]
Mode: 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 OOA(972, 2039, F9, 2, 22) (dual of [(2039, 2), 4006, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(972, 2039, F9, 3, 22) (dual of [(2039, 3), 6045, 23]-NRT-code) | [i] | ||
| 3 | Digital (50, 72, 2039)-net over F9 | [i] | ||