Information on Result #980382
Linear OOA(8137, 10933, F8, 3, 30) (dual of [(10933, 3), 32662, 31]-NRT-code), using OOA 3-folding based on linear OA(8137, 32799, F8, 30) (dual of [32799, 32662, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(86, 31, F8, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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 OOA(8140, 10934, F8, 3, 30) (dual of [(10934, 3), 32662, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8138, 10933, F8, 3, 30) (dual of [(10933, 3), 32661, 31]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8139, 10933, F8, 3, 30) (dual of [(10933, 3), 32660, 31]-NRT-code) | [i] | ||