Information on Result #674723
Linear OA(3137, 177173, F3, 19) (dual of [177173, 177036, 20]-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(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), 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 OA(3138, 177174, F3, 19) (dual of [177174, 177036, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3137, 88586, F3, 2, 19) (dual of [(88586, 2), 177035, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3137, 59057, F3, 3, 19) (dual of [(59057, 3), 177034, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3137, 44293, F3, 4, 19) (dual of [(44293, 4), 177035, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3137, 35434, F3, 5, 19) (dual of [(35434, 5), 177033, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3137, 19685, F3, 19, 19) (dual of [(19685, 19), 373878, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |