Information on Result #913348
Linear OOA(4138, 72, F4, 2, 111) (dual of [(72, 2), 6, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
- linear OOA(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(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(4138, 72, F4, 2, 110) (dual of [(72, 2), 6, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4138, 72, F4, 2, 109) (dual of [(72, 2), 6, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(4138, 72, F4, 2, 108) (dual of [(72, 2), 6, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(4138, 72, F4, 2, 107) (dual of [(72, 2), 6, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(4138, 72, F4, 2, 106) (dual of [(72, 2), 6, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(4137, 71, F4, 2, 110) (dual of [(71, 2), 5, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(4136, 71, F4, 2, 109) (dual of [(71, 2), 6, 110]-NRT-code) | [i] | ||
| 8 | Linear OOA(4135, 70, F4, 2, 108) (dual of [(70, 2), 5, 109]-NRT-code) | [i] | ||
| 9 | Linear OOA(4134, 70, F4, 2, 107) (dual of [(70, 2), 6, 108]-NRT-code) | [i] | ||
| 10 | Linear OOA(4133, 69, F4, 2, 106) (dual of [(69, 2), 5, 107]-NRT-code) | [i] | ||
| 11 | Linear OOA(4132, 69, F4, 2, 105) (dual of [(69, 2), 6, 106]-NRT-code) | [i] | ||
| 12 | Linear OOA(4131, 68, F4, 2, 104) (dual of [(68, 2), 5, 105]-NRT-code) | [i] | ||
| 13 | Linear OOA(4129, 67, F4, 2, 102) (dual of [(67, 2), 5, 103]-NRT-code) | [i] | ||
| 14 | Linear OOA(4128, 67, F4, 2, 101) (dual of [(67, 2), 6, 102]-NRT-code) | [i] | ||
| 15 | Linear OOA(4127, 66, F4, 2, 100) (dual of [(66, 2), 5, 101]-NRT-code) | [i] | ||
| 16 | Linear OOA(4126, 66, F4, 2, 99) (dual of [(66, 2), 6, 100]-NRT-code) | [i] | ||
| 17 | Linear OOA(4125, 65, F4, 2, 98) (dual of [(65, 2), 5, 99]-NRT-code) | [i] | ||
| 18 | Linear OOA(4124, 65, F4, 2, 97) (dual of [(65, 2), 6, 98]-NRT-code) | [i] | ||
| 19 | Linear OOA(4123, 64, F4, 2, 96) (dual of [(64, 2), 5, 97]-NRT-code) | [i] | ||
| 20 | Linear OOA(4121, 63, F4, 2, 94) (dual of [(63, 2), 5, 95]-NRT-code) | [i] | ||
| 21 | Linear OOA(4120, 63, F4, 2, 93) (dual of [(63, 2), 6, 94]-NRT-code) | [i] | ||
| 22 | Linear OOA(4118, 62, F4, 2, 91) (dual of [(62, 2), 6, 92]-NRT-code) | [i] | ||
| 23 | Linear OOA(4116, 61, F4, 2, 89) (dual of [(61, 2), 6, 90]-NRT-code) | [i] | ||
| 24 | Linear OOA(4113, 59, F4, 2, 86) (dual of [(59, 2), 5, 87]-NRT-code) | [i] | ||
| 25 | Linear OOA(4112, 59, F4, 2, 85) (dual of [(59, 2), 6, 86]-NRT-code) | [i] | ||
| 26 | Linear OOA(4111, 58, F4, 2, 84) (dual of [(58, 2), 5, 85]-NRT-code) | [i] | ||
| 27 | Linear OOA(4110, 58, F4, 2, 83) (dual of [(58, 2), 6, 84]-NRT-code) | [i] | ||
| 28 | Linear OOA(4108, 57, F4, 2, 81) (dual of [(57, 2), 6, 82]-NRT-code) | [i] | ||
| 29 | Linear OOA(4107, 56, F4, 2, 80) (dual of [(56, 2), 5, 81]-NRT-code) | [i] | ||