Information on Result #1539474
Linear OOA(4175, 106120, F4, 3, 26) (dual of [(106120, 3), 318185, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4175, 106120, F4, 2, 26) (dual of [(106120, 2), 212065, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4175, 131082, F4, 2, 26) (dual of [(131082, 2), 261989, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4175, 262164, F4, 26) (dual of [262164, 261989, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code), using
- OOA 2-folding [i] based on linear OA(4175, 262164, F4, 26) (dual of [262164, 261989, 27]-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(4175, 21223, F4, 33, 26) (dual of [(21223, 33), 700184, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |