Information on Result #913431
Linear OOA(4146, 75, F4, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 15, F16, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [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(4146, 75, F4, 2, 124) (dual of [(75, 2), 4, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4146, 75, F4, 2, 123) (dual of [(75, 2), 4, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(4146, 75, F4, 2, 122) (dual of [(75, 2), 4, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(4146, 75, F4, 2, 121) (dual of [(75, 2), 4, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(4146, 75, F4, 2, 120) (dual of [(75, 2), 4, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(4146, 75, F4, 2, 119) (dual of [(75, 2), 4, 120]-NRT-code) | [i] | ||
| 7 | Linear OOA(4146, 75, F4, 2, 118) (dual of [(75, 2), 4, 119]-NRT-code) | [i] | ||
| 8 | Linear OOA(4145, 74, F4, 2, 124) (dual of [(74, 2), 3, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(4144, 74, F4, 2, 123) (dual of [(74, 2), 4, 124]-NRT-code) | [i] | ||
| 10 | Linear OOA(4143, 73, F4, 2, 122) (dual of [(73, 2), 3, 123]-NRT-code) | [i] | ||
| 11 | Linear OOA(4142, 73, F4, 2, 121) (dual of [(73, 2), 4, 122]-NRT-code) | [i] | ||
| 12 | Linear OOA(4141, 72, F4, 2, 120) (dual of [(72, 2), 3, 121]-NRT-code) | [i] | ||
| 13 | Linear OOA(4140, 72, F4, 2, 119) (dual of [(72, 2), 4, 120]-NRT-code) | [i] | ||
| 14 | Linear OOA(4139, 71, F4, 2, 118) (dual of [(71, 2), 3, 119]-NRT-code) | [i] | ||
| 15 | Linear OOA(4138, 71, F4, 2, 117) (dual of [(71, 2), 4, 118]-NRT-code) | [i] | ||
| 16 | Linear OOA(4137, 70, F4, 2, 116) (dual of [(70, 2), 3, 117]-NRT-code) | [i] | ||
| 17 | Linear OOA(4135, 69, F4, 2, 114) (dual of [(69, 2), 3, 115]-NRT-code) | [i] | ||
| 18 | Linear OOA(4134, 69, F4, 2, 113) (dual of [(69, 2), 4, 114]-NRT-code) | [i] | ||
| 19 | Linear OOA(4130, 67, F4, 2, 109) (dual of [(67, 2), 4, 110]-NRT-code) | [i] | ||
| 20 | Linear OOA(4128, 66, F4, 2, 107) (dual of [(66, 2), 4, 108]-NRT-code) | [i] | ||
| 21 | Linear OOA(4122, 63, F4, 2, 101) (dual of [(63, 2), 4, 102]-NRT-code) | [i] | ||
| 22 | Linear OOA(4121, 62, F4, 2, 100) (dual of [(62, 2), 3, 101]-NRT-code) | [i] | ||
| 23 | Linear OOA(4120, 62, F4, 2, 99) (dual of [(62, 2), 4, 100]-NRT-code) | [i] | ||
| 24 | Linear OOA(4119, 61, F4, 2, 98) (dual of [(61, 2), 3, 99]-NRT-code) | [i] | ||
| 25 | Linear OOA(4118, 61, F4, 2, 97) (dual of [(61, 2), 4, 98]-NRT-code) | [i] | ||
| 26 | Linear OOA(4117, 60, F4, 2, 96) (dual of [(60, 2), 3, 97]-NRT-code) | [i] | ||
| 27 | Linear OOA(4114, 59, F4, 2, 93) (dual of [(59, 2), 4, 94]-NRT-code) | [i] | ||
| 28 | Linear OOA(4112, 58, F4, 2, 91) (dual of [(58, 2), 4, 92]-NRT-code) | [i] | ||
| 29 | Linear OOA(4110, 57, F4, 2, 89) (dual of [(57, 2), 4, 90]-NRT-code) | [i] | ||
| 30 | Linear OOA(4103, 53, F4, 2, 82) (dual of [(53, 2), 3, 83]-NRT-code) | [i] | ||
| 31 | Linear OOA(4102, 53, F4, 2, 81) (dual of [(53, 2), 4, 82]-NRT-code) | [i] | ||
| 32 | Linear OOA(4101, 52, F4, 2, 80) (dual of [(52, 2), 3, 81]-NRT-code) | [i] | ||
| 33 | Linear OOA(499, 51, F4, 2, 78) (dual of [(51, 2), 3, 79]-NRT-code) | [i] | ||