Information on Result #1536650
Linear OOA(4128, 583274, F4, 3, 16) (dual of [(583274, 3), 1749694, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4128, 583274, F4, 16) (dual of [583274, 583146, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4128, 1048620, F4, 16) (dual of [1048620, 1048492, 17]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
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(4128, 194424, F4, 21, 16) (dual of [(194424, 21), 4082776, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |