Information on Result #1301499
Linear OA(580, 15658, F5, 15) (dual of [15658, 15578, 16]-code), using construction X with Varšamov bound based on
- linear OA(577, 15652, F5, 15) (dual of [15652, 15575, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(573, 15626, F5, 15) (dual of [15626, 15553, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(577, 15655, F5, 14) (dual of [15655, 15578, 15]-code), using Gilbert–Varšamov bound and bm = 577 > Vbs−1(k−1) = 36354 195573 483740 161818 440902 062748 180985 365294 486665 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(580, 7829, F5, 2, 15) (dual of [(7829, 2), 15578, 16]-NRT-code) | [i] | OOA Folding | |