Information on Result #700198
Linear OA(12817, 386, F128, 10) (dual of [386, 369, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(12816, 382, F128, 10) (dual of [382, 366, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12813, 382, F128, 8) (dual of [382, 369, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1281, 4, F128, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(12858, 16772, F128, 21) (dual of [16772, 16714, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12859, 16776, F128, 21) (dual of [16776, 16717, 22]-code) | [i] | ||
| 3 | Linear OA(12878, 2097541, F128, 21) (dual of [2097541, 2097463, 22]-code) | [i] | ||
| 4 | Linear OA(12856, 16772, F128, 20) (dual of [16772, 16716, 21]-code) | [i] | ||
| 5 | Linear OA(12875, 2097541, F128, 20) (dual of [2097541, 2097466, 21]-code) | [i] | ||
| 6 | Linear OA(12876, 2097545, F128, 20) (dual of [2097545, 2097469, 21]-code) | [i] | ||
| 7 | Linear OOA(12817, 193, F128, 2, 10) (dual of [(193, 2), 369, 11]-NRT-code) | [i] | OOA Folding | |