Information on Result #677783
Linear OA(381, 102, F3, 38) (dual of [102, 21, 39]-code), using construction XX applied to Ce(39) ⊂ Ce(25) ⊂ Ce(24) based on
- linear OA(365, 81, F3, 40) (dual of [81, 16, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(361, 81, F3, 26) (dual of [81, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(357, 81, F3, 25) (dual of [81, 24, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 20, F3, 11) (dual of [20, 5, 12]-code), using
- residual code [i] based on linear OA(350, 56, F3, 35) (dual of [56, 6, 36]-code), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OOA(381, 51, F3, 2, 38) (dual of [(51, 2), 21, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(381, 34, F3, 3, 38) (dual of [(34, 3), 21, 39]-NRT-code) | [i] | ||