Information on Result #684044
Linear OA(540, 128, F5, 17) (dual of [128, 88, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(540, 125, F5, 17) (dual of [125, 85, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(537, 125, F5, 16) (dual of [125, 88, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(543, 140, F5, 17) (dual of [140, 97, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(544, 151, F5, 17) (dual of [151, 107, 18]-code) | [i] | ||
| 3 | Linear OOA(540, 64, F5, 2, 17) (dual of [(64, 2), 88, 18]-NRT-code) | [i] | OOA Folding | |