Information on Result #1560068
Linear OOA(966, 59075, F9, 3, 14) (dual of [(59075, 3), 177159, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(966, 59075, F9, 14) (dual of [59075, 59009, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(965, 59073, F9, 14) (dual of [59073, 59008, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(965, 59074, F9, 13) (dual of [59074, 59009, 14]-code), using Gilbert–Varšamov bound and bm = 965 > Vbs−1(k−1) = 258783 737228 190251 608001 279041 810027 697777 298202 466447 576585 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(965, 59073, F9, 14) (dual of [59073, 59008, 15]-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(966, 19691, F9, 21, 14) (dual of [(19691, 21), 413445, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |