Information on Result #1550809
Linear OOA(5144, 976562, F5, 3, 20) (dual of [(976562, 3), 2929542, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(5144, 976562, F5, 2, 20) (dual of [(976562, 2), 1952980, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5144, 1953124, F5, 20) (dual of [1953124, 1952980, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 1953125, F5, 20) (dual of [1953125, 1952981, 21]-code), using
- 1 times truncation [i] based on linear OA(5145, 1953126, F5, 21) (dual of [1953126, 1952981, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(5145, 1953126, F5, 21) (dual of [1953126, 1952981, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 1953125, F5, 20) (dual of [1953125, 1952981, 21]-code), using
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(5144, 244140, F5, 27, 20) (dual of [(244140, 27), 6591636, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |