Information on Result #677024
Linear OA(3105, 738, F3, 26) (dual of [738, 633, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(24) ⊂ Ce(22) based on
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 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
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3105, 552, F3, 2, 26) (dual of [(552, 2), 999, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3105, 552, F3, 3, 26) (dual of [(552, 3), 1551, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3105, 552, F3, 4, 26) (dual of [(552, 4), 2103, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3105, 552, F3, 5, 26) (dual of [(552, 5), 2655, 27]-NRT-code) | [i] | ||
| 5 | Digital (79, 105, 552)-net over F3 | [i] | ||