Information on Result #681952

Linear OA(449, 63, F4, 29) (dual of [63, 14, 30]-code), using contraction based on linear OA(4175, 189, F4, 89) (dual of [189, 14, 90]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [i]

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4112, 126, F4, 59) (dual of [126, 14, 60]-code) [i]Repeating Each Code Word
2Linear OA(4111, 124, F4, 59) (dual of [124, 13, 60]-code) [i]
3Linear OA(4110, 122, F4, 59) (dual of [122, 12, 60]-code) [i]
4Linear OA(4109, 120, F4, 59) (dual of [120, 11, 60]-code) [i]
5Linear OA(2161, 189, F2, 59) (dual of [189, 28, 60]-code) [i]Concatenation of Two Codes
6Linear OA(2160, 186, F2, 59) (dual of [186, 26, 60]-code) [i]
7Linear OA(2159, 183, F2, 59) (dual of [183, 24, 60]-code) [i]
8Linear OA(451, 68, F4, 29) (dual of [68, 17, 30]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(453, 73, F4, 29) (dual of [73, 20, 30]-code) [i]✔
10Linear OA(457, 80, F4, 29) (dual of [80, 23, 30]-code) [i]✔
11Linear OA(462, 76, F4, 36) (dual of [76, 14, 37]-code) [i]✔Construction XX with Cyclic Codes
12Linear OA(458, 81, F4, 30) (dual of [81, 23, 31]-code) [i]✔
13Linear OA(454, 74, F4, 30) (dual of [74, 20, 31]-code) [i]✔
14Linear OA(451, 71, F4, 28) (dual of [71, 20, 29]-code) [i]✔
15Linear OA(452, 69, F4, 30) (dual of [69, 17, 31]-code) [i]✔
16Linear OA(456, 77, F4, 29) (dual of [77, 21, 30]-code) [i]✔Construction XX with a Chain of Cyclic Codes
17Linear OOA(449, 21, F4, 3, 29) (dual of [(21, 3), 14, 30]-NRT-code) [i]OOA Folding