Information on Result #612579

Linear OA(48, 16, F4, 6) (dual of [16, 8, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(421, 28, F4, 13) (dual of [28, 7, 14]-code) [i](u, u+v)-Construction
2Linear OA(497, 102, F4, 70) (dual of [102, 5, 71]-code) [i]Juxtaposition
3Linear OA(493, 97, F4, 70) (dual of [97, 4, 71]-code) [i]
4Linear OA(232, 48, F2, 13) (dual of [48, 16, 14]-code) [i]Concatenation of Two Codes
5Linear OOA(244, 28, F2, 2, 20) (dual of [(28, 2), 12, 21]-NRT-code) [i]Concatenation of Two NRT-Codes
6Linear OOA(268, 39, F2, 2, 34) (dual of [(39, 2), 10, 35]-NRT-code) [i]
7Linear OA(455, 85, F4, 24) (dual of [85, 30, 25]-code) [i]Construction XX with Cyclic Codes
8Linear OA(449, 78, F4, 23) (dual of [78, 29, 24]-code) [i]
9Linear OA(453, 82, F4, 24) (dual of [82, 29, 25]-code) [i]
10Linear OA(446, 76, F4, 22) (dual of [76, 30, 23]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(445, 78, F4, 21) (dual of [78, 33, 22]-code) [i]
12Linear OA(4108, 118, F4, 66) (dual of [118, 10, 67]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
13Linear OA(4107, 116, F4, 66) (dual of [116, 9, 67]-code) [i]
14Linear OA(4106, 114, F4, 66) (dual of [114, 8, 67]-code) [i]
15Linear OA(4103, 110, F4, 66) (dual of [110, 7, 67]-code) [i]
16Linear OOA(48, 8, F4, 2, 6) (dual of [(8, 2), 8, 7]-NRT-code) [i]OOA Folding