Information on Result #674594
Linear OA(3127, 531483, F3, 15) (dual of [531483, 531356, 16]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(385, 531441, F3, 11) (dual of [531441, 531356, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(3128, 531484, F3, 15) (dual of [531484, 531356, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3127, 265741, F3, 2, 15) (dual of [(265741, 2), 531355, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3127, 177161, F3, 3, 15) (dual of [(177161, 3), 531356, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3127, 132870, F3, 4, 15) (dual of [(132870, 4), 531353, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3127, 106296, F3, 5, 15) (dual of [(106296, 5), 531353, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(3127, 75926, F3, 15, 15) (dual of [(75926, 15), 1138763, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |