Information on Result #548310
There is no linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-code), because residual code would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2112, 121, F2, 57) (dual of [121, 9, 58]-code) | [i] | Truncation | |
| 2 | No linear OA(2113, 122, F2, 58) (dual of [122, 9, 59]-code) | [i] | ||
| 3 | No linear OA(2114, 123, F2, 59) (dual of [123, 9, 60]-code) | [i] | ||
| 4 | No linear OOA(2112, 120, F2, 2, 57) (dual of [(120, 2), 128, 58]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(2113, 120, F2, 2, 58) (dual of [(120, 2), 127, 59]-NRT-code) | [i] | ||
| 6 | No linear OOA(2114, 120, F2, 2, 59) (dual of [(120, 2), 126, 60]-NRT-code) | [i] | ||
| 7 | No linear OOA(2115, 120, F2, 2, 60) (dual of [(120, 2), 125, 61]-NRT-code) | [i] | ||
| 8 | No linear OOA(2116, 120, F2, 2, 61) (dual of [(120, 2), 124, 62]-NRT-code) | [i] | ||
| 9 | No linear OOA(2117, 120, F2, 2, 62) (dual of [(120, 2), 123, 63]-NRT-code) | [i] | ||
| 10 | No linear OOA(2118, 120, F2, 2, 63) (dual of [(120, 2), 122, 64]-NRT-code) | [i] | ||
| 11 | No linear OOA(2119, 120, F2, 2, 64) (dual of [(120, 2), 121, 65]-NRT-code) | [i] | ||
| 12 | No linear OOA(2120, 120, F2, 2, 65) (dual of [(120, 2), 120, 66]-NRT-code) | [i] | ||
| 13 | No linear OOA(2121, 120, F2, 2, 66) (dual of [(120, 2), 119, 67]-NRT-code) | [i] | ||
| 14 | No linear OOA(2122, 120, F2, 2, 67) (dual of [(120, 2), 118, 68]-NRT-code) | [i] | ||
| 15 | No linear OOA(2123, 120, F2, 2, 68) (dual of [(120, 2), 117, 69]-NRT-code) | [i] | ||
| 16 | No linear OOA(2124, 120, F2, 2, 69) (dual of [(120, 2), 116, 70]-NRT-code) | [i] | ||
| 17 | No linear OOA(2125, 120, F2, 2, 70) (dual of [(120, 2), 115, 71]-NRT-code) | [i] | ||
| 18 | No linear OOA(2126, 120, F2, 2, 71) (dual of [(120, 2), 114, 72]-NRT-code) | [i] | ||
| 19 | No linear OOA(2127, 120, F2, 2, 72) (dual of [(120, 2), 113, 73]-NRT-code) | [i] | ||
| 20 | No linear OOA(2128, 120, F2, 2, 73) (dual of [(120, 2), 112, 74]-NRT-code) | [i] | ||
| 21 | No linear OOA(2129, 120, F2, 2, 74) (dual of [(120, 2), 111, 75]-NRT-code) | [i] | ||
| 22 | No linear OOA(2130, 120, F2, 2, 75) (dual of [(120, 2), 110, 76]-NRT-code) | [i] | ||
| 23 | No linear OOA(2131, 120, F2, 2, 76) (dual of [(120, 2), 109, 77]-NRT-code) | [i] | ||
| 24 | No linear OOA(2132, 120, F2, 2, 77) (dual of [(120, 2), 108, 78]-NRT-code) | [i] | ||
| 25 | No linear OOA(2133, 120, F2, 2, 78) (dual of [(120, 2), 107, 79]-NRT-code) | [i] | ||
| 26 | No linear OOA(2134, 120, F2, 2, 79) (dual of [(120, 2), 106, 80]-NRT-code) | [i] | ||
| 27 | No linear OOA(2135, 120, F2, 2, 80) (dual of [(120, 2), 105, 81]-NRT-code) | [i] | ||
| 28 | No linear OOA(2136, 120, F2, 2, 81) (dual of [(120, 2), 104, 82]-NRT-code) | [i] | ||
| 29 | No linear OOA(2137, 120, F2, 2, 82) (dual of [(120, 2), 103, 83]-NRT-code) | [i] | ||
| 30 | No linear OOA(2138, 120, F2, 2, 83) (dual of [(120, 2), 102, 84]-NRT-code) | [i] | ||
| 31 | No linear OOA(2139, 120, F2, 2, 84) (dual of [(120, 2), 101, 85]-NRT-code) | [i] | ||
| 32 | No linear OOA(2140, 120, F2, 2, 85) (dual of [(120, 2), 100, 86]-NRT-code) | [i] | ||
| 33 | No linear OOA(2141, 120, F2, 2, 86) (dual of [(120, 2), 99, 87]-NRT-code) | [i] | ||
| 34 | No linear OOA(2142, 120, F2, 2, 87) (dual of [(120, 2), 98, 88]-NRT-code) | [i] | ||
| 35 | No linear OOA(2143, 120, F2, 2, 88) (dual of [(120, 2), 97, 89]-NRT-code) | [i] | ||
| 36 | No linear OOA(2144, 120, F2, 2, 89) (dual of [(120, 2), 96, 90]-NRT-code) | [i] | ||
| 37 | No linear OOA(2145, 120, F2, 2, 90) (dual of [(120, 2), 95, 91]-NRT-code) | [i] | ||
| 38 | No linear OOA(2146, 120, F2, 2, 91) (dual of [(120, 2), 94, 92]-NRT-code) | [i] | ||
| 39 | No linear OOA(2147, 120, F2, 2, 92) (dual of [(120, 2), 93, 93]-NRT-code) | [i] | ||
| 40 | No linear OOA(2148, 120, F2, 2, 93) (dual of [(120, 2), 92, 94]-NRT-code) | [i] | ||
| 41 | No linear OOA(2149, 120, F2, 2, 94) (dual of [(120, 2), 91, 95]-NRT-code) | [i] | ||
| 42 | No linear OOA(2150, 120, F2, 2, 95) (dual of [(120, 2), 90, 96]-NRT-code) | [i] | ||
| 43 | No linear OOA(2151, 120, F2, 2, 96) (dual of [(120, 2), 89, 97]-NRT-code) | [i] | ||
| 44 | No linear OOA(2152, 120, F2, 2, 97) (dual of [(120, 2), 88, 98]-NRT-code) | [i] | ||
| 45 | No linear OOA(2153, 120, F2, 2, 98) (dual of [(120, 2), 87, 99]-NRT-code) | [i] | ||
| 46 | No linear OOA(2154, 120, F2, 2, 99) (dual of [(120, 2), 86, 100]-NRT-code) | [i] | ||
| 47 | No linear OOA(2155, 120, F2, 2, 100) (dual of [(120, 2), 85, 101]-NRT-code) | [i] | ||
| 48 | No linear OOA(2156, 120, F2, 2, 101) (dual of [(120, 2), 84, 102]-NRT-code) | [i] | ||
| 49 | No linear OOA(2157, 120, F2, 2, 102) (dual of [(120, 2), 83, 103]-NRT-code) | [i] | ||
| 50 | No linear OOA(2158, 120, F2, 2, 103) (dual of [(120, 2), 82, 104]-NRT-code) | [i] | ||
| 51 | No linear OOA(2111, 120, F2, 2, 56) (dual of [(120, 2), 129, 57]-NRT-code) | [i] | Depth Reduction | |
| 52 | No linear OOA(2111, 120, F2, 3, 56) (dual of [(120, 3), 249, 57]-NRT-code) | [i] | ||
| 53 | No linear OOA(2111, 120, F2, 4, 56) (dual of [(120, 4), 369, 57]-NRT-code) | [i] | ||
| 54 | No linear OOA(2111, 120, F2, 5, 56) (dual of [(120, 5), 489, 57]-NRT-code) | [i] | ||
| 55 | No linear OOA(2111, 120, F2, 6, 56) (dual of [(120, 6), 609, 57]-NRT-code) | [i] | ||
| 56 | No linear OOA(2111, 120, F2, 7, 56) (dual of [(120, 7), 729, 57]-NRT-code) | [i] | ||
| 57 | No linear OOA(2111, 120, F2, 8, 56) (dual of [(120, 8), 849, 57]-NRT-code) | [i] | ||
| 58 | No digital (55, 111, 120)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 59 | No linear OA(2223, 233, F2, 112) (dual of [233, 10, 113]-code) | [i] | Residual Code | |