Information on Result #553203
There is no linear OOA(2188, 182, F2, 2, 103) (dual of [(182, 2), 176, 104]-NRT-code), because 15 step m-reduction would yield linear OA(2173, 182, F2, 88) (dual of [182, 9, 89]-code), but
- residual code [i] would yield linear OA(285, 93, F2, 44) (dual of [93, 8, 45]-code), but
- residual code [i] would yield linear OA(241, 48, F2, 22) (dual of [48, 7, 23]-code), but
- residual code [i] would yield linear OA(219, 25, F2, 11) (dual of [25, 6, 12]-code), but
- 1 times truncation [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- 1 times truncation [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- 1 times truncation [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(219, 25, F2, 11) (dual of [25, 6, 12]-code), but
- residual code [i] would yield linear OA(241, 48, F2, 22) (dual of [48, 7, 23]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OOA(2188, 182, F2, 3, 103) (dual of [(182, 3), 358, 104]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(2188, 182, F2, 4, 103) (dual of [(182, 4), 540, 104]-NRT-code) | [i] | ||
3 | No linear OOA(2188, 182, F2, 5, 103) (dual of [(182, 5), 722, 104]-NRT-code) | [i] | ||
4 | No linear OOA(2188, 182, F2, 6, 103) (dual of [(182, 6), 904, 104]-NRT-code) | [i] | ||
5 | No linear OOA(2188, 182, F2, 7, 103) (dual of [(182, 7), 1086, 104]-NRT-code) | [i] | ||
6 | No linear OOA(2188, 182, F2, 8, 103) (dual of [(182, 8), 1268, 104]-NRT-code) | [i] |