Information on Result #2156259

There is no linear OA(2148, 176, F2, 70) (dual of [176, 28, 71]-code), because adding a parity check bit would yield linear OA(2149, 177, F2, 71) (dual of [177, 28, 72]-code), but

Mode: Bound (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
1No linear OA(2148, 176, F2, 71) (dual of [176, 28, 72]-code) [i]Strength Reduction
2No linear OA(2147, 175, F2, 70) (dual of [175, 28, 71]-code) [i]Code Embedding in Larger Space
3No linear OA(2146, 174, F2, 70) (dual of [174, 28, 71]-code) [i]
4No linear OA(2145, 173, F2, 70) (dual of [173, 28, 71]-code) [i]
5No linear OA(2144, 172, F2, 70) (dual of [172, 28, 71]-code) [i]
6No linear OOA(2149, 176, F2, 2, 71) (dual of [(176, 2), 203, 72]-NRT-code) [i]m-Reduction for OOAs
7No linear OOA(2150, 176, F2, 2, 72) (dual of [(176, 2), 202, 73]-NRT-code) [i]
8No linear OOA(2151, 176, F2, 2, 73) (dual of [(176, 2), 201, 74]-NRT-code) [i]
9No linear OOA(2148, 176, F2, 2, 70) (dual of [(176, 2), 204, 71]-NRT-code) [i]Depth Reduction
10No linear OOA(2148, 176, F2, 3, 70) (dual of [(176, 3), 380, 71]-NRT-code) [i]
11No linear OOA(2148, 176, F2, 4, 70) (dual of [(176, 4), 556, 71]-NRT-code) [i]
12No linear OOA(2148, 176, F2, 5, 70) (dual of [(176, 5), 732, 71]-NRT-code) [i]
13No linear OOA(2148, 176, F2, 6, 70) (dual of [(176, 6), 908, 71]-NRT-code) [i]
14No linear OOA(2148, 176, F2, 7, 70) (dual of [(176, 7), 1084, 71]-NRT-code) [i]
15No linear OOA(2148, 176, F2, 8, 70) (dual of [(176, 8), 1260, 71]-NRT-code) [i]
16No digital (78, 148, 176)-net over F2 [i]Extracting Embedded Orthogonal Array