Information on Result #2232112
Linear OA(3199, 231, F3, 109) (dual of [231, 32, 110]-code), using 13 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(3214, 247, F3, 109) (dual of [247, 33, 110]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(3219, 253, F3, 109) (dual of [253, 34, 110]-code) | [i] | ||
| 3 | Linear OA(3223, 258, F3, 109) (dual of [258, 35, 110]-code) | [i] | ||
| 4 | Linear OA(3224, 260, F3, 109) (dual of [260, 36, 110]-code) | [i] | ||
| 5 | Linear OA(3227, 264, F3, 109) (dual of [264, 37, 110]-code) | [i] | ||
| 6 | Linear OA(3224, 261, F3, 108) (dual of [261, 37, 109]-code) | [i] | ||
| 7 | Linear OA(3229, 267, F3, 109) (dual of [267, 38, 110]-code) | [i] | ||
| 8 | Linear OA(3230, 269, F3, 109) (dual of [269, 39, 110]-code) | [i] | ||
| 9 | Linear OA(3226, 265, F3, 107) (dual of [265, 39, 108]-code) | [i] | ||
| 10 | Linear OOA(3199, 115, F3, 2, 109) (dual of [(115, 2), 31, 110]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3199, 77, F3, 3, 109) (dual of [(77, 3), 32, 110]-NRT-code) | [i] | ||
| 12 | Linear OOA(3199, 46, F3, 5, 109) (dual of [(46, 5), 31, 110]-NRT-code) | [i] | ||