Information on Result #845462
Linear OOA(8149, 16403, F8, 2, 32) (dual of [(16403, 2), 32657, 33]-NRT-code), using OOA 2-folding based on linear OA(8149, 32806, F8, 32) (dual of [32806, 32657, 33]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8148, 32805, F8, 32) (dual of [32805, 32657, 33]-code), using
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
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 OOA(8151, 16404, F8, 2, 32) (dual of [(16404, 2), 32657, 33]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8150, 16403, F8, 2, 32) (dual of [(16403, 2), 32656, 33]-NRT-code) | [i] | OOA Duplication | |