Information on Result #2246998
Linear OA(580, 3125, F5, 20) (dual of [3125, 3045, 21]-code), using 1 times truncation based on linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
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 OOA(580, 2195, F5, 2, 20) (dual of [(2195, 2), 4310, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(580, 2195, F5, 3, 20) (dual of [(2195, 3), 6505, 21]-NRT-code) | [i] | ||
| 3 | Digital (60, 80, 2195)-net over F5 | [i] | ||
| 4 | Linear OA(584, 3148, F5, 20) (dual of [3148, 3064, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(585, 3175, F5, 20) (dual of [3175, 3090, 21]-code) | [i] | ||
| 6 | Linear OA(586, 3231, F5, 20) (dual of [3231, 3145, 21]-code) | [i] | ||
| 7 | Linear OA(587, 3337, F5, 20) (dual of [3337, 3250, 21]-code) | [i] | ||
| 8 | Linear OA(588, 3514, F5, 20) (dual of [3514, 3426, 21]-code) | [i] | ||
| 9 | Linear OA(589, 3765, F5, 20) (dual of [3765, 3676, 21]-code) | [i] | ||
| 10 | Linear OA(590, 4074, F5, 20) (dual of [4074, 3984, 21]-code) | [i] | ||
| 11 | Linear OA(591, 4426, F5, 20) (dual of [4426, 4335, 21]-code) | [i] | ||
| 12 | Linear OA(592, 4815, F5, 20) (dual of [4815, 4723, 21]-code) | [i] | ||
| 13 | Linear OOA(580, 1562, F5, 2, 20) (dual of [(1562, 2), 3044, 21]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(580, 1041, F5, 3, 20) (dual of [(1041, 3), 3043, 21]-NRT-code) | [i] | ||
| 15 | Linear OOA(580, 312, F5, 20, 20) (dual of [(312, 20), 6160, 21]-NRT-code) | [i] | OA Folding and Stacking | |