Information on Result #687083
Linear OA(8144, 4128, F8, 39) (dual of [4128, 3984, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,16]) based on
- linear OA(8137, 4097, F8, 39) (dual of [4097, 3960, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(87, 31, F8, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
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 OA(8145, 4129, F8, 39) (dual of [4129, 3984, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8146, 4130, F8, 39) (dual of [4130, 3984, 40]-code) | [i] | ||
| 3 | Linear OA(8147, 4131, F8, 39) (dual of [4131, 3984, 40]-code) | [i] | ||
| 4 | Linear OA(8148, 4132, F8, 39) (dual of [4132, 3984, 40]-code) | [i] | ||
| 5 | Linear OA(8149, 4133, F8, 39) (dual of [4133, 3984, 40]-code) | [i] | ||
| 6 | Linear OOA(8144, 2064, F8, 2, 39) (dual of [(2064, 2), 3984, 40]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8144, 1376, F8, 3, 39) (dual of [(1376, 3), 3984, 40]-NRT-code) | [i] | ||