Information on Result #973120
Linear OOA(5121, 5210, F5, 3, 25) (dual of [(5210, 3), 15509, 26]-NRT-code), using OOA 3-folding based on linear OA(5121, 15630, F5, 25) (dual of [15630, 15509, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, 15631, F5, 25) (dual of [15631, 15510, 26]-code), using
- 1 times truncation [i] based on linear OA(5122, 15632, F5, 26) (dual of [15632, 15510, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 1 times truncation [i] based on linear OA(5122, 15632, F5, 26) (dual of [15632, 15510, 27]-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 OOA(5138, 5230, F5, 3, 25) (dual of [(5230, 3), 15552, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5139, 5231, F5, 3, 25) (dual of [(5231, 3), 15554, 26]-NRT-code) | [i] | ||