Information on Result #674586
Linear OA(3175, 531483, F3, 21) (dual of [531483, 531308, 22]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3176, 531484, F3, 21) (dual of [531484, 531308, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3175, 265741, F3, 2, 21) (dual of [(265741, 2), 531307, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3175, 177161, F3, 3, 21) (dual of [(177161, 3), 531308, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3175, 132870, F3, 4, 21) (dual of [(132870, 4), 531305, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(3175, 106296, F3, 5, 21) (dual of [(106296, 5), 531305, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(3175, 53148, F3, 21, 21) (dual of [(53148, 21), 1115933, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |