Information on Result #710255
Linear OA(5111, 170, F5, 48) (dual of [170, 59, 49]-code), using construction XX applied to C1 = C([31,72]), C2 = C([25,63]), C3 = C1 + C2 = C([31,63]), and C∩ = C1 ∩ C2 = C([25,72]) based on
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,72}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,63}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,72}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,63}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(512, 27, F5, 8) (dual of [27, 15, 9]-code), using
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(57, 19, F5, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-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(5111, 85, F5, 2, 48) (dual of [(85, 2), 59, 49]-NRT-code) | [i] | OOA Folding | |