Information on Result #912033
Linear OOA(2256, 136, F2, 2, 139) (dual of [(136, 2), 16, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(212, 8, F2, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2256, 136, F2, 2, 138) (dual of [(136, 2), 16, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 136, F2, 2, 137) (dual of [(136, 2), 16, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 136, F2, 2, 136) (dual of [(136, 2), 16, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 136, F2, 2, 135) (dual of [(136, 2), 16, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 136, F2, 2, 134) (dual of [(136, 2), 16, 135]-NRT-code) | [i] | ||
| 6 | Linear OOA(2256, 136, F2, 2, 133) (dual of [(136, 2), 16, 134]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 136, F2, 2, 132) (dual of [(136, 2), 16, 133]-NRT-code) | [i] | ||
| 8 | Linear OOA(2256, 136, F2, 2, 131) (dual of [(136, 2), 16, 132]-NRT-code) | [i] | ||
| 9 | Linear OOA(2256, 136, F2, 2, 130) (dual of [(136, 2), 16, 131]-NRT-code) | [i] | ||
| 10 | Linear OOA(2258, 137, F2, 2, 139) (dual of [(137, 2), 16, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 11 | Linear OOA(2260, 138, F2, 2, 139) (dual of [(138, 2), 16, 140]-NRT-code) | [i] | ||
| 12 | Linear OOA(2257, 136, F2, 2, 139) (dual of [(136, 2), 15, 140]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2255, 135, F2, 2, 138) (dual of [(135, 2), 15, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 14 | Linear OOA(2254, 135, F2, 2, 137) (dual of [(135, 2), 16, 138]-NRT-code) | [i] | ||
| 15 | Linear OOA(2253, 134, F2, 2, 136) (dual of [(134, 2), 15, 137]-NRT-code) | [i] | ||
| 16 | Linear OOA(2252, 134, F2, 2, 135) (dual of [(134, 2), 16, 136]-NRT-code) | [i] | ||
| 17 | Linear OOA(2251, 133, F2, 2, 134) (dual of [(133, 2), 15, 135]-NRT-code) | [i] | ||
| 18 | Linear OOA(2250, 133, F2, 2, 133) (dual of [(133, 2), 16, 134]-NRT-code) | [i] | ||
| 19 | Linear OOA(2249, 132, F2, 2, 132) (dual of [(132, 2), 15, 133]-NRT-code) | [i] | ||
| 20 | Linear OOA(2248, 132, F2, 2, 131) (dual of [(132, 2), 16, 132]-NRT-code) | [i] | ||
| 21 | Linear OOA(2247, 131, F2, 2, 130) (dual of [(131, 2), 15, 131]-NRT-code) | [i] | ||
| 22 | Linear OOA(2246, 131, F2, 2, 129) (dual of [(131, 2), 16, 130]-NRT-code) | [i] | ||
| 23 | Linear OOA(2245, 130, F2, 2, 128) (dual of [(130, 2), 15, 129]-NRT-code) | [i] | ||
| 24 | Linear OOA(2243, 129, F2, 2, 126) (dual of [(129, 2), 15, 127]-NRT-code) | [i] | ||
| 25 | Linear OOA(2242, 129, F2, 2, 125) (dual of [(129, 2), 16, 126]-NRT-code) | [i] | ||
| 26 | Linear OOA(2241, 128, F2, 2, 124) (dual of [(128, 2), 15, 125]-NRT-code) | [i] | ||
| 27 | Linear OOA(2239, 127, F2, 2, 122) (dual of [(127, 2), 15, 123]-NRT-code) | [i] | ||
| 28 | Linear OOA(2238, 127, F2, 2, 121) (dual of [(127, 2), 16, 122]-NRT-code) | [i] | ||
| 29 | Linear OOA(2237, 126, F2, 2, 120) (dual of [(126, 2), 15, 121]-NRT-code) | [i] | ||
| 30 | Linear OOA(2256, 68, F2, 4, 139) (dual of [(68, 4), 16, 140]-NRT-code) | [i] | OOA Folding | |