Information on Result #1536174
Linear OOA(4118, 131095, F4, 3, 17) (dual of [(131095, 3), 393167, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4118, 131095, F4, 2, 17) (dual of [(131095, 2), 262072, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4118, 262190, F4, 17) (dual of [262190, 262072, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(473, 262145, F4, 11) (dual of [262145, 262072, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(49, 45, F4, 5) (dual of [45, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-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(4119, 131095, F4, 3, 17) (dual of [(131095, 3), 393166, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4118, 43698, F4, 21, 17) (dual of [(43698, 21), 917540, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |