Information on Result #1542128
Linear OOA(4210, 524313, F4, 3, 27) (dual of [(524313, 3), 1572729, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4210, 524313, F4, 2, 27) (dual of [(524313, 2), 1048416, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4210, 1048626, F4, 27) (dual of [1048626, 1048416, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4161, 1048577, F4, 21) (dual of [1048577, 1048416, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(49, 49, F4, 5) (dual of [49, 40, 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([0,13]) ⊂ C([0,10]) [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(4210, 104862, F4, 33, 27) (dual of [(104862, 33), 3460236, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |