Information on Result #910937
Linear OOA(2240, 128, F2, 2, 128) (dual of [(128, 2), 16, 129]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(456, 64, F4, 42) (dual of [64, 8, 43]-code), using
- an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OOA(22, 2, F2, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,2) [i]
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(2240, 128, F2, 2, 127) (dual of [(128, 2), 16, 128]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2240, 128, F2, 2, 126) (dual of [(128, 2), 16, 127]-NRT-code) | [i] | ||
| 3 | Linear OOA(2240, 128, F2, 2, 125) (dual of [(128, 2), 16, 126]-NRT-code) | [i] | ||
| 4 | Linear OOA(2240, 128, F2, 2, 124) (dual of [(128, 2), 16, 125]-NRT-code) | [i] | ||
| 5 | Linear OOA(2240, 128, F2, 2, 123) (dual of [(128, 2), 16, 124]-NRT-code) | [i] | ||
| 6 | Linear OOA(2240, 128, F2, 2, 122) (dual of [(128, 2), 16, 123]-NRT-code) | [i] | ||
| 7 | Linear OOA(2240, 128, F2, 2, 121) (dual of [(128, 2), 16, 122]-NRT-code) | [i] | ||
| 8 | Linear OOA(2240, 128, F2, 2, 120) (dual of [(128, 2), 16, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(2239, 127, F2, 2, 127) (dual of [(127, 2), 15, 128]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2238, 127, F2, 2, 126) (dual of [(127, 2), 16, 127]-NRT-code) | [i] | ||
| 11 | Linear OOA(2237, 126, F2, 2, 125) (dual of [(126, 2), 15, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(2234, 125, F2, 2, 122) (dual of [(125, 2), 16, 123]-NRT-code) | [i] | ||
| 13 | Linear OOA(2233, 124, F2, 2, 121) (dual of [(124, 2), 15, 122]-NRT-code) | [i] | ||
| 14 | Linear OOA(2231, 123, F2, 2, 119) (dual of [(123, 2), 15, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(2230, 123, F2, 2, 118) (dual of [(123, 2), 16, 119]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 122, F2, 2, 117) (dual of [(122, 2), 15, 118]-NRT-code) | [i] | ||
| 17 | Linear OOA(2227, 121, F2, 2, 115) (dual of [(121, 2), 15, 116]-NRT-code) | [i] | ||
| 18 | Linear OOA(2226, 121, F2, 2, 114) (dual of [(121, 2), 16, 115]-NRT-code) | [i] | ||
| 19 | Linear OOA(2240, 64, F2, 4, 128) (dual of [(64, 4), 16, 129]-NRT-code) | [i] | OOA Folding | |