Information on Result #674722
Linear OA(3134, 177170, F3, 18) (dual of [177170, 177036, 19]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 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
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3134, 88585, F3, 2, 18) (dual of [(88585, 2), 177036, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3134, 44292, F3, 4, 18) (dual of [(44292, 4), 177034, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3134, 35434, F3, 5, 18) (dual of [(35434, 5), 177036, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3134, 19685, F3, 18, 18) (dual of [(19685, 18), 354196, 19]-NRT-code) | [i] | OA Folding and Stacking | |