Information on Result #1451755
Linear OOA(9128, 365031, F9, 2, 24) (dual of [(365031, 2), 729934, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9128, 365031, F9, 24) (dual of [365031, 364903, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(9128, 531454, F9, 24) (dual of [531454, 531326, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(91, 13, F9, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
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(9128, 182515, F9, 3, 24) (dual of [(182515, 3), 547417, 25]-NRT-code) | [i] | OOA Folding |