Information on Result #1557864
Linear OOA(8151, 1858590, F8, 3, 24) (dual of [(1858590, 3), 5575619, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8151, 1858590, F8, 24) (dual of [1858590, 1858439, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 2097176, F8, 24) (dual of [2097176, 2097025, 25]-code), using
- 1 times truncation [i] based on linear OA(8152, 2097177, F8, 25) (dual of [2097177, 2097025, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(8152, 2097177, F8, 25) (dual of [2097177, 2097025, 26]-code), using
Mode: 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, 464647, F8, 27, 24) (dual of [(464647, 27), 12545318, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |