Information on Result #682672
Linear OA(576, 15640, F5, 16) (dual of [15640, 15564, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- 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(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(576, 8383, F5, 2, 16) (dual of [(8383, 2), 16690, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(576, 8383, F5, 3, 16) (dual of [(8383, 3), 25073, 17]-NRT-code) | [i] | ||
| 3 | Digital (60, 76, 8383)-net over F5 | [i] | ||
| 4 | Linear OOA(576, 7820, F5, 2, 16) (dual of [(7820, 2), 15564, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(576, 5213, F5, 3, 16) (dual of [(5213, 3), 15563, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(576, 1955, F5, 16, 16) (dual of [(1955, 16), 31204, 17]-NRT-code) | [i] | OA Folding and Stacking | |