Information on Result #814495
Linear OOA(3246, 2391509, F3, 2, 26) (dual of [(2391509, 2), 4782772, 27]-NRT-code), using OOA 2-folding based on linear OA(3246, 4783018, F3, 26) (dual of [4783018, 4782772, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3245, 4783017, F3, 26) (dual of [4783017, 4782772, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
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, 2391510, F3, 2, 26) (dual of [(2391510, 2), 4782772, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3247, 2391509, F3, 2, 26) (dual of [(2391509, 2), 4782771, 27]-NRT-code) | [i] | OOA Duplication | |