Information on Result #972826
Linear OOA(5103, 5218, F5, 3, 21) (dual of [(5218, 3), 15551, 22]-NRT-code), using OOA 3-folding based on linear OA(5103, 15654, F5, 21) (dual of [15654, 15551, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5103, 15655, F5, 21) (dual of [15655, 15552, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [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(5103, 5218, F5, 3, 20) (dual of [(5218, 3), 15551, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5104, 5218, F5, 3, 21) (dual of [(5218, 3), 15550, 22]-NRT-code) | [i] | OOA Duplication | |