Information on Result #1323681
Linear OA(4183, 16441, F4, 33) (dual of [16441, 16258, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-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 OA(4184, 16442, F4, 33) (dual of [16442, 16258, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4185, 16444, F4, 33) (dual of [16444, 16259, 34]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4186, 16446, F4, 33) (dual of [16446, 16260, 34]-code) | [i] | ||
| 4 | Linear OA(4187, 16448, F4, 33) (dual of [16448, 16261, 34]-code) | [i] | ||
| 5 | Linear OOA(4183, 8220, F4, 2, 33) (dual of [(8220, 2), 16257, 34]-NRT-code) | [i] | OOA Folding | |