Information on Result #676302
Linear OA(3248, 1104, F3, 55) (dual of [1104, 856, 56]-code), using construction XX applied to Ce(54) ⊂ Ce(52) ⊂ Ce(51) based on
- linear OA(3246, 1094, F3, 55) (dual of [1094, 848, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(3239, 1094, F3, 53) (dual of [1094, 855, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3232, 1094, F3, 52) (dual of [1094, 862, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(3248, 552, F3, 2, 55) (dual of [(552, 2), 856, 56]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3248, 368, F3, 3, 55) (dual of [(368, 3), 856, 56]-NRT-code) | [i] | ||