Information on Result #684329
Linear OA(569, 143, F5, 28) (dual of [143, 74, 29]-code), using construction XX applied to Ce(30) ⊂ Ce(21) ⊂ Ce(20) based on
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(549, 125, F5, 21) (dual of [125, 76, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(57, 17, F5, 5) (dual of [17, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(569, 71, F5, 2, 28) (dual of [(71, 2), 73, 29]-NRT-code) | [i] | OOA Folding | |