Information on Result #1425281
Linear OOA(4168, 177477, F4, 2, 23) (dual of [(177477, 2), 354786, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4168, 177477, F4, 23) (dual of [177477, 177309, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4168, 262186, F4, 23) (dual of [262186, 262018, 24]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4127, 262145, F4, 19) (dual of [262145, 262018, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [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(4168, 88738, F4, 3, 23) (dual of [(88738, 3), 266046, 24]-NRT-code) | [i] | OOA Folding | |