Information on Result #686546
Linear OA(8127, 262180, F8, 23) (dual of [262180, 262053, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(86, 36, F8, 4) (dual of [36, 30, 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(8127, 262180, F8, 2, 23) (dual of [(262180, 2), 524233, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8127, 262180, F8, 3, 23) (dual of [(262180, 3), 786413, 24]-NRT-code) | [i] | ||
| 3 | Digital (104, 127, 262180)-net over F8 | [i] | ||
| 4 | Linear OOA(8127, 131090, F8, 2, 23) (dual of [(131090, 2), 262053, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8127, 87393, F8, 3, 23) (dual of [(87393, 3), 262052, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(8127, 23834, F8, 23, 23) (dual of [(23834, 23), 548055, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |