Information on Result #1434475
Linear OOA(4248, 11813, F4, 2, 47) (dual of [(11813, 2), 23378, 48]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4248, 11813, F4, 47) (dual of [11813, 11565, 48]-code), using
- discarding factors / shortening the dual code based on linear OA(4248, 16400, F4, 47) (dual of [16400, 16152, 48]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4247, 16399, F4, 47) (dual of [16399, 16152, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(44) [i] based on
- linear OA(4246, 16384, F4, 47) (dual of [16384, 16138, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(46) ⊂ Ce(44) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4247, 16399, F4, 47) (dual of [16399, 16152, 48]-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(4248, 5906, F4, 3, 47) (dual of [(5906, 3), 17470, 48]-NRT-code) | [i] | OOA Folding | |