Information on Result #682273
Linear OA(5140, 390644, F5, 22) (dual of [390644, 390504, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(53, 19, F5, 2) (dual of [19, 16, 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(5140, 195322, F5, 2, 22) (dual of [(195322, 2), 390504, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5140, 130214, F5, 3, 22) (dual of [(130214, 3), 390502, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(5140, 35513, F5, 22, 22) (dual of [(35513, 22), 781146, 23]-NRT-code) | [i] | OA Folding and Stacking | |