Information on Result #1542468
Linear OOA(4214, 2097193, F4, 3, 24) (dual of [(2097193, 3), 6291365, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4214, 2097193, F4, 2, 24) (dual of [(2097193, 2), 4194172, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4214, 4194386, F4, 24) (dual of [4194386, 4194172, 25]-code), using
- strength reduction [i] based on linear OA(4214, 4194386, F4, 25) (dual of [4194386, 4194172, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- linear OA(4199, 4194305, F4, 25) (dual of [4194305, 4194106, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(415, 81, F4, 7) (dual of [81, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to C([0,12]) ⊂ C([0,8]) [i] based on
- strength reduction [i] based on linear OA(4214, 4194386, F4, 25) (dual of [4194386, 4194172, 26]-code), 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(4214, 524298, F4, 27, 24) (dual of [(524298, 27), 14155832, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |