Information on Result #2232109
Linear OA(3202, 234, F3, 112) (dual of [234, 32, 113]-code), using 10 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(3236, 276, F3, 112) (dual of [276, 40, 113]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3237, 278, F3, 112) (dual of [278, 41, 113]-code) | [i] | ||
| 3 | Linear OA(3238, 280, F3, 112) (dual of [280, 42, 113]-code) | [i] | ||
| 4 | Linear OA(3239, 282, F3, 112) (dual of [282, 43, 113]-code) | [i] | ||
| 5 | Linear OA(3240, 284, F3, 112) (dual of [284, 44, 113]-code) | [i] | ||
| 6 | Linear OA(3218, 251, F3, 112) (dual of [251, 33, 113]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(3224, 258, F3, 112) (dual of [258, 34, 113]-code) | [i] | ||
| 8 | Linear OA(3222, 256, F3, 111) (dual of [256, 34, 112]-code) | [i] | ||
| 9 | Linear OA(3227, 262, F3, 112) (dual of [262, 35, 113]-code) | [i] | ||
| 10 | Linear OA(3228, 264, F3, 112) (dual of [264, 36, 113]-code) | [i] | ||
| 11 | Linear OA(3232, 269, F3, 112) (dual of [269, 37, 113]-code) | [i] | ||
| 12 | Linear OA(3233, 271, F3, 112) (dual of [271, 38, 113]-code) | [i] | ||
| 13 | Linear OA(3228, 266, F3, 109) (dual of [266, 38, 110]-code) | [i] | ||
| 14 | Linear OA(3231, 268, F3, 112) (dual of [268, 37, 113]-code) | [i] | ||
| 15 | Linear OOA(3202, 117, F3, 2, 112) (dual of [(117, 2), 32, 113]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3202, 78, F3, 3, 112) (dual of [(78, 3), 32, 113]-NRT-code) | [i] | ||
| 17 | Linear OOA(3202, 46, F3, 5, 112) (dual of [(46, 5), 28, 113]-NRT-code) | [i] | ||