Information on Result #1649407
Linear OOA(3215, 84075, F3, 5, 27) (dual of [(84075, 5), 420160, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3215, 84075, F3, 2, 27) (dual of [(84075, 2), 167935, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3215, 88615, F3, 2, 27) (dual of [(88615, 2), 177015, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3215, 177230, F3, 27) (dual of [177230, 177015, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,9]) [i] based on
- linear OA(3199, 177148, F3, 27) (dual of [177148, 176949, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to C([0,13]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(3215, 177230, F3, 27) (dual of [177230, 177015, 28]-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(3215, 28024, F3, 35, 27) (dual of [(28024, 35), 980625, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |