Information on Result #1538684
Linear OOA(4163, 131097, F4, 3, 23) (dual of [(131097, 3), 393128, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4163, 131097, F4, 2, 23) (dual of [(131097, 2), 262031, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4163, 262194, F4, 23) (dual of [262194, 262031, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4163, 262195, F4, 23) (dual of [262195, 262032, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(22) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4163, 262195, F4, 23) (dual of [262195, 262032, 24]-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(4163, 32774, F4, 27, 23) (dual of [(32774, 27), 884735, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |