Information on Result #676878
Linear OA(3244, 795, F3, 58) (dual of [795, 551, 59]-code), using construction X applied to Ce(57) ⊂ Ce(45) based on
- linear OA(3217, 729, F3, 58) (dual of [729, 512, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3178, 729, F3, 46) (dual of [729, 551, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(327, 66, F3, 11) (dual of [66, 39, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3244, 795, F3, 57) (dual of [795, 551, 58]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3245, 796, F3, 58) (dual of [796, 551, 59]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3246, 797, F3, 58) (dual of [797, 551, 59]-code) | [i] | ||
| 4 | Linear OA(3247, 798, F3, 58) (dual of [798, 551, 59]-code) | [i] | ||
| 5 | Linear OA(3243, 794, F3, 57) (dual of [794, 551, 58]-code) | [i] | Truncation | |
| 6 | Linear OOA(3244, 397, F3, 2, 58) (dual of [(397, 2), 550, 59]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3244, 265, F3, 3, 58) (dual of [(265, 3), 551, 59]-NRT-code) | [i] | ||