Information on Result #684387
Linear OA(540, 72, F5, 19) (dual of [72, 32, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(537, 63, F5, 19) (dual of [63, 26, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(53, 9, F5, 2) (dual of [9, 6, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(540, 36, F5, 2, 19) (dual of [(36, 2), 32, 20]-NRT-code) | [i] | OOA Folding | |