Information on Result #2232122
Linear OA(3189, 221, F3, 99) (dual of [221, 32, 100]-code), using 23 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(3210, 248, F3, 99) (dual of [248, 38, 100]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3211, 250, F3, 99) (dual of [250, 39, 100]-code) | [i] | ||
| 3 | Linear OA(3212, 252, F3, 99) (dual of [252, 40, 100]-code) | [i] | ||
| 4 | Linear OA(3213, 254, F3, 99) (dual of [254, 41, 100]-code) | [i] | ||
| 5 | Linear OA(3214, 256, F3, 99) (dual of [256, 42, 100]-code) | [i] | ||
| 6 | Linear OA(3199, 232, F3, 99) (dual of [232, 33, 100]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(3203, 237, F3, 99) (dual of [237, 34, 100]-code) | [i] | ||
| 8 | Linear OA(3201, 235, F3, 98) (dual of [235, 34, 99]-code) | [i] | ||
| 9 | Linear OA(3206, 241, F3, 99) (dual of [241, 35, 100]-code) | [i] | ||
| 10 | Linear OA(3207, 243, F3, 99) (dual of [243, 36, 100]-code) | [i] | ||
| 11 | Linear OA(3209, 246, F3, 99) (dual of [246, 37, 100]-code) | [i] | ||
| 12 | Linear OOA(3189, 110, F3, 2, 99) (dual of [(110, 2), 31, 100]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3189, 73, F3, 3, 99) (dual of [(73, 3), 30, 100]-NRT-code) | [i] | ||
| 14 | Linear OOA(3189, 44, F3, 5, 99) (dual of [(44, 5), 31, 100]-NRT-code) | [i] | ||