Information on Result #1538495
Linear OOA(4160, 524313, F4, 3, 20) (dual of [(524313, 3), 1572779, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4160, 524313, F4, 2, 20) (dual of [(524313, 2), 1048466, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4160, 1048626, F4, 20) (dual of [1048626, 1048466, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4160, 1048627, F4, 20) (dual of [1048627, 1048467, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4160, 1048627, F4, 20) (dual of [1048627, 1048467, 21]-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(4160, 131078, F4, 27, 20) (dual of [(131078, 27), 3538946, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |