Information on Result #709974

Linear OA(560, 124, F5, 30) (dual of [124, 64, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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:

ResultThis
result
only		Method
1Linear OA(560, 124, F5, 29) (dual of [124, 64, 30]-code) [i]Strength Reduction
2Linear OA(560, 124, F5, 28) (dual of [124, 64, 29]-code) [i]
3Linear OA(560, 124, F5, 27) (dual of [124, 64, 28]-code) [i]
4Linear OA(566, 134, F5, 30) (dual of [134, 68, 31]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(567, 138, F5, 30) (dual of [138, 71, 31]-code) [i]
6Linear OA(568, 143, F5, 30) (dual of [143, 75, 31]-code) [i]
7Linear OA(569, 150, F5, 30) (dual of [150, 81, 31]-code) [i]
8Linear OA(580, 159, F5, 32) (dual of [159, 79, 33]-code) [i]✔Construction XX with Cyclic Codes
9Linear OA(585, 152, F5, 36) (dual of [152, 67, 37]-code) [i]✔
10Linear OA(591, 155, F5, 40) (dual of [155, 64, 41]-code) [i]✔
11Linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code) [i]✔
12Linear OA(599, 163, F5, 43) (dual of [163, 64, 44]-code) [i]✔
13Linear OA(5103, 167, F5, 44) (dual of [167, 64, 45]-code) [i]✔
14Linear OA(5110, 170, F5, 47) (dual of [170, 60, 48]-code) [i]✔
15Linear OA(5107, 167, F5, 45) (dual of [167, 60, 46]-code) [i]✔
16Linear OA(564, 129, F5, 30) (dual of [129, 65, 31]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OA(565, 131, F5, 30) (dual of [131, 66, 31]-code) [i]
18Linear OA(566, 133, F5, 30) (dual of [133, 67, 31]-code) [i]
19Linear OOA(560, 62, F5, 2, 30) (dual of [(62, 2), 64, 31]-NRT-code) [i]OOA Folding
20Linear OOA(560, 41, F5, 3, 30) (dual of [(41, 3), 63, 31]-NRT-code) [i]