Information on Result #1613563
Linear OOA(8149, 192935, F81, 4, 17) (dual of [(192935, 4), 771691, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8149, 192935, F81, 2, 17) (dual of [(192935, 2), 385821, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8149, 265722, F81, 2, 17) (dual of [(265722, 2), 531395, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 531444, F81, 17) (dual of [531444, 531395, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(8149, 531444, F81, 17) (dual of [531444, 531395, 18]-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(8149, 96467, F81, 20, 17) (dual of [(96467, 20), 1929291, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |