Information on Result #1425556
Linear OOA(4171, 13139, F4, 2, 31) (dual of [(13139, 2), 26107, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4171, 13139, F4, 31) (dual of [13139, 12968, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, 16421, F4, 31) (dual of [16421, 16250, 32]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-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(4171, 6569, F4, 3, 31) (dual of [(6569, 3), 19536, 32]-NRT-code) | [i] | OOA Folding | |