Information on Result #2232102
Linear OA(3209, 241, F3, 119) (dual of [241, 32, 120]-code), using 3 times truncation based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3213, 245, F3, 119) (dual of [245, 32, 120]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3249, 289, F3, 119) (dual of [289, 40, 120]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3250, 291, F3, 119) (dual of [291, 41, 120]-code) | [i] | ||
| 4 | Linear OA(3228, 261, F3, 119) (dual of [261, 33, 120]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(3236, 270, F3, 119) (dual of [270, 34, 120]-code) | [i] | ||
| 6 | Linear OA(3239, 274, F3, 119) (dual of [274, 35, 120]-code) | [i] | ||
| 7 | Linear OA(3235, 270, F3, 117) (dual of [270, 35, 118]-code) | [i] | ||
| 8 | Linear OA(3241, 277, F3, 119) (dual of [277, 36, 120]-code) | [i] | ||
| 9 | Linear OA(3244, 281, F3, 119) (dual of [281, 37, 120]-code) | [i] | ||
| 10 | Linear OA(3239, 276, F3, 116) (dual of [276, 37, 117]-code) | [i] | ||
| 11 | Linear OA(3247, 285, F3, 119) (dual of [285, 38, 120]-code) | [i] | ||
| 12 | Linear OA(3243, 280, F3, 119) (dual of [280, 37, 120]-code) | [i] | ||
| 13 | Linear OA(3238, 275, F3, 116) (dual of [275, 37, 117]-code) | [i] | ||
| 14 | Linear OOA(3209, 120, F3, 2, 119) (dual of [(120, 2), 31, 120]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3209, 80, F3, 3, 119) (dual of [(80, 3), 31, 120]-NRT-code) | [i] | ||
| 16 | Linear OOA(3209, 48, F3, 5, 119) (dual of [(48, 5), 31, 120]-NRT-code) | [i] | ||