Information on Result #1288008
Linear OA(246, 56, F2, 22) (dual of [56, 10, 23]-code), using construction Y1 based on
- linear OA(247, 63, F2, 22) (dual of [63, 16, 23]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- nonexistence of OA(216, 63, S2, 7), because
- discarding factors would yield OA(216, 58, S2, 7), but
- 1 times truncation [i] would yield OA(215, 57, S2, 6), but
- the linear programming bound shows that M ≥ 15 367968 / 463 > 215 [i]
- 1 times truncation [i] would yield OA(215, 57, S2, 6), but
- discarding factors would yield OA(216, 58, S2, 7), but
Mode: 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
None.