Information on Result #683924
Linear OA(5134, 328, F5, 44) (dual of [328, 194, 45]-code), using construction X applied to Ce(43) ⊂ Ce(40) based on
- linear OA(5131, 313, F5, 44) (dual of [313, 182, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(53, 15, F5, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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(5134, 164, F5, 2, 44) (dual of [(164, 2), 194, 45]-NRT-code) | [i] | OOA Folding | |