Information on Result #1310496
Linear OA(543, 140, F5, 17) (dual of [140, 97, 18]-code), using 9 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 5 times 0) based on linear OA(540, 128, F5, 17) (dual of [128, 88, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] 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: 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(543, 137, F5, 2, 17) (dual of [(137, 2), 231, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(543, 137, F5, 3, 17) (dual of [(137, 3), 368, 18]-NRT-code) | [i] | ||
| 3 | Digital (26, 43, 137)-net over F5 | [i] | ||