Information on Result #1647654
Linear OOA(3194, 132863, F3, 5, 25) (dual of [(132863, 5), 664121, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3194, 132863, F3, 4, 25) (dual of [(132863, 4), 531258, 26]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3194, 531452, F3, 25) (dual of [531452, 531258, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 531454, F3, 25) (dual of [531454, 531260, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3194, 531454, F3, 25) (dual of [531454, 531260, 26]-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(3195, 132863, F3, 5, 25) (dual of [(132863, 5), 664120, 26]-NRT-code) | [i] | OOA Duplication | |