Information on Result #1310690
Linear OA(597, 3181, F5, 23) (dual of [3181, 3084, 24]-code), using 39 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 9 times 0, 1, 22 times 0) based on linear OA(592, 3137, F5, 23) (dual of [3137, 3045, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(591, 3126, F5, 23) (dual of [3126, 3035, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- 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]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(597, 3181, F5, 2, 23) (dual of [(3181, 2), 6265, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(597, 3181, F5, 3, 23) (dual of [(3181, 3), 9446, 24]-NRT-code) | [i] | ||
| 3 | Digital (74, 97, 3181)-net over F5 | [i] | ||
| 4 | Linear OOA(597, 1590, F5, 2, 23) (dual of [(1590, 2), 3083, 24]-NRT-code) | [i] | OOA Folding | |