Information on Result #1554441
Linear OOA(873, 262176, F8, 3, 13) (dual of [(262176, 3), 786455, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(873, 262176, F8, 13) (dual of [262176, 262103, 14]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(871, 262172, F8, 13) (dual of [262172, 262101, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(871, 262174, F8, 12) (dual of [262174, 262103, 13]-code), using Gilbert–Varšamov bound and bm = 871 > Vbs−1(k−1) = 19 920572 510806 350026 034127 754669 329283 173501 845374 452963 356356 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(871, 262172, F8, 13) (dual of [262172, 262101, 14]-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(873, 131087, F8, 15, 13) (dual of [(131087, 15), 1966232, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |