Information on Result #548519
There is no linear OA(873, 80, F8, 64) (dual of [80, 7, 65]-code), because residual code would yield linear OA(89, 15, F8, 8) (dual of [15, 6, 9]-code), but
- “MPa†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(874, 81, F8, 65) (dual of [81, 7, 66]-code) | [i] | Truncation | |
| 2 | No linear OA(875, 82, F8, 66) (dual of [82, 7, 67]-code) | [i] | ||
| 3 | No linear OA(876, 83, F8, 67) (dual of [83, 7, 68]-code) | [i] | ||
| 4 | No linear OOA(874, 80, F8, 2, 65) (dual of [(80, 2), 86, 66]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(875, 80, F8, 2, 66) (dual of [(80, 2), 85, 67]-NRT-code) | [i] | ||
| 6 | No linear OOA(876, 80, F8, 2, 67) (dual of [(80, 2), 84, 68]-NRT-code) | [i] | ||
| 7 | No linear OOA(877, 80, F8, 2, 68) (dual of [(80, 2), 83, 69]-NRT-code) | [i] | ||
| 8 | No linear OOA(878, 80, F8, 2, 69) (dual of [(80, 2), 82, 70]-NRT-code) | [i] | ||
| 9 | No linear OOA(879, 80, F8, 2, 70) (dual of [(80, 2), 81, 71]-NRT-code) | [i] | ||
| 10 | No linear OOA(880, 80, F8, 2, 71) (dual of [(80, 2), 80, 72]-NRT-code) | [i] | ||
| 11 | No linear OOA(881, 80, F8, 2, 72) (dual of [(80, 2), 79, 73]-NRT-code) | [i] | ||
| 12 | No linear OOA(882, 80, F8, 2, 73) (dual of [(80, 2), 78, 74]-NRT-code) | [i] | ||
| 13 | No linear OOA(883, 80, F8, 2, 74) (dual of [(80, 2), 77, 75]-NRT-code) | [i] | ||
| 14 | No linear OOA(884, 80, F8, 2, 75) (dual of [(80, 2), 76, 76]-NRT-code) | [i] | ||
| 15 | No linear OOA(885, 80, F8, 2, 76) (dual of [(80, 2), 75, 77]-NRT-code) | [i] | ||
| 16 | No linear OOA(886, 80, F8, 2, 77) (dual of [(80, 2), 74, 78]-NRT-code) | [i] | ||
| 17 | No linear OOA(887, 80, F8, 2, 78) (dual of [(80, 2), 73, 79]-NRT-code) | [i] | ||
| 18 | No linear OOA(888, 80, F8, 2, 79) (dual of [(80, 2), 72, 80]-NRT-code) | [i] | ||
| 19 | No linear OOA(889, 80, F8, 2, 80) (dual of [(80, 2), 71, 81]-NRT-code) | [i] | ||
| 20 | No linear OOA(890, 80, F8, 2, 81) (dual of [(80, 2), 70, 82]-NRT-code) | [i] | ||
| 21 | No linear OOA(891, 80, F8, 2, 82) (dual of [(80, 2), 69, 83]-NRT-code) | [i] | ||
| 22 | No linear OOA(892, 80, F8, 2, 83) (dual of [(80, 2), 68, 84]-NRT-code) | [i] | ||
| 23 | No linear OOA(893, 80, F8, 2, 84) (dual of [(80, 2), 67, 85]-NRT-code) | [i] | ||
| 24 | No linear OOA(894, 80, F8, 2, 85) (dual of [(80, 2), 66, 86]-NRT-code) | [i] | ||
| 25 | No linear OOA(895, 80, F8, 2, 86) (dual of [(80, 2), 65, 87]-NRT-code) | [i] | ||
| 26 | No linear OOA(896, 80, F8, 2, 87) (dual of [(80, 2), 64, 88]-NRT-code) | [i] | ||
| 27 | No linear OOA(897, 80, F8, 2, 88) (dual of [(80, 2), 63, 89]-NRT-code) | [i] | ||
| 28 | No linear OOA(898, 80, F8, 2, 89) (dual of [(80, 2), 62, 90]-NRT-code) | [i] | ||
| 29 | No linear OOA(899, 80, F8, 2, 90) (dual of [(80, 2), 61, 91]-NRT-code) | [i] | ||
| 30 | No linear OOA(8100, 80, F8, 2, 91) (dual of [(80, 2), 60, 92]-NRT-code) | [i] | ||
| 31 | No linear OOA(8101, 80, F8, 2, 92) (dual of [(80, 2), 59, 93]-NRT-code) | [i] | ||
| 32 | No linear OOA(8102, 80, F8, 2, 93) (dual of [(80, 2), 58, 94]-NRT-code) | [i] | ||
| 33 | No linear OOA(8103, 80, F8, 2, 94) (dual of [(80, 2), 57, 95]-NRT-code) | [i] | ||
| 34 | No linear OOA(8104, 80, F8, 2, 95) (dual of [(80, 2), 56, 96]-NRT-code) | [i] | ||
| 35 | No linear OOA(8105, 80, F8, 2, 96) (dual of [(80, 2), 55, 97]-NRT-code) | [i] | ||
| 36 | No linear OOA(8106, 80, F8, 2, 97) (dual of [(80, 2), 54, 98]-NRT-code) | [i] | ||
| 37 | No linear OOA(8107, 80, F8, 2, 98) (dual of [(80, 2), 53, 99]-NRT-code) | [i] | ||
| 38 | No linear OOA(8108, 80, F8, 2, 99) (dual of [(80, 2), 52, 100]-NRT-code) | [i] | ||
| 39 | No linear OOA(8109, 80, F8, 2, 100) (dual of [(80, 2), 51, 101]-NRT-code) | [i] | ||
| 40 | No linear OOA(8110, 80, F8, 2, 101) (dual of [(80, 2), 50, 102]-NRT-code) | [i] | ||
| 41 | No linear OOA(8111, 80, F8, 2, 102) (dual of [(80, 2), 49, 103]-NRT-code) | [i] | ||
| 42 | No linear OOA(8112, 80, F8, 2, 103) (dual of [(80, 2), 48, 104]-NRT-code) | [i] | ||
| 43 | No linear OOA(8113, 80, F8, 2, 104) (dual of [(80, 2), 47, 105]-NRT-code) | [i] | ||
| 44 | No linear OOA(8114, 80, F8, 2, 105) (dual of [(80, 2), 46, 106]-NRT-code) | [i] | ||
| 45 | No linear OOA(8115, 80, F8, 2, 106) (dual of [(80, 2), 45, 107]-NRT-code) | [i] | ||
| 46 | No linear OOA(8116, 80, F8, 2, 107) (dual of [(80, 2), 44, 108]-NRT-code) | [i] | ||
| 47 | No linear OOA(8117, 80, F8, 2, 108) (dual of [(80, 2), 43, 109]-NRT-code) | [i] | ||
| 48 | No linear OOA(8118, 80, F8, 2, 109) (dual of [(80, 2), 42, 110]-NRT-code) | [i] | ||
| 49 | No linear OOA(8119, 80, F8, 2, 110) (dual of [(80, 2), 41, 111]-NRT-code) | [i] | ||
| 50 | No linear OOA(8120, 80, F8, 2, 111) (dual of [(80, 2), 40, 112]-NRT-code) | [i] | ||
| 51 | No linear OOA(8121, 80, F8, 2, 112) (dual of [(80, 2), 39, 113]-NRT-code) | [i] | ||
| 52 | No linear OOA(8122, 80, F8, 2, 113) (dual of [(80, 2), 38, 114]-NRT-code) | [i] | ||
| 53 | No linear OOA(8123, 80, F8, 2, 114) (dual of [(80, 2), 37, 115]-NRT-code) | [i] | ||
| 54 | No linear OOA(8124, 80, F8, 2, 115) (dual of [(80, 2), 36, 116]-NRT-code) | [i] | ||
| 55 | No linear OOA(8125, 80, F8, 2, 116) (dual of [(80, 2), 35, 117]-NRT-code) | [i] | ||
| 56 | No linear OOA(8126, 80, F8, 2, 117) (dual of [(80, 2), 34, 118]-NRT-code) | [i] | ||
| 57 | No linear OOA(8127, 80, F8, 2, 118) (dual of [(80, 2), 33, 119]-NRT-code) | [i] | ||
| 58 | No linear OOA(8128, 80, F8, 2, 119) (dual of [(80, 2), 32, 120]-NRT-code) | [i] | ||
| 59 | No linear OOA(8129, 80, F8, 2, 120) (dual of [(80, 2), 31, 121]-NRT-code) | [i] | ||
| 60 | No linear OOA(8130, 80, F8, 2, 121) (dual of [(80, 2), 30, 122]-NRT-code) | [i] | ||
| 61 | No linear OOA(8131, 80, F8, 2, 122) (dual of [(80, 2), 29, 123]-NRT-code) | [i] | ||
| 62 | No linear OOA(8132, 80, F8, 2, 123) (dual of [(80, 2), 28, 124]-NRT-code) | [i] | ||
| 63 | No linear OOA(8133, 80, F8, 2, 124) (dual of [(80, 2), 27, 125]-NRT-code) | [i] | ||
| 64 | No linear OOA(8134, 80, F8, 2, 125) (dual of [(80, 2), 26, 126]-NRT-code) | [i] | ||
| 65 | No linear OOA(8135, 80, F8, 2, 126) (dual of [(80, 2), 25, 127]-NRT-code) | [i] | ||
| 66 | No linear OOA(8136, 80, F8, 2, 127) (dual of [(80, 2), 24, 128]-NRT-code) | [i] | ||
| 67 | No linear OOA(8137, 80, F8, 2, 128) (dual of [(80, 2), 23, 129]-NRT-code) | [i] | ||
| 68 | No linear OOA(8138, 80, F8, 2, 129) (dual of [(80, 2), 22, 130]-NRT-code) | [i] | ||
| 69 | No linear OOA(8139, 80, F8, 2, 130) (dual of [(80, 2), 21, 131]-NRT-code) | [i] | ||
| 70 | No linear OOA(8140, 80, F8, 2, 131) (dual of [(80, 2), 20, 132]-NRT-code) | [i] | ||
| 71 | No linear OOA(8141, 80, F8, 2, 132) (dual of [(80, 2), 19, 133]-NRT-code) | [i] | ||
| 72 | No linear OOA(8142, 80, F8, 2, 133) (dual of [(80, 2), 18, 134]-NRT-code) | [i] | ||
| 73 | No linear OOA(8143, 80, F8, 2, 134) (dual of [(80, 2), 17, 135]-NRT-code) | [i] | ||
| 74 | No linear OOA(8144, 80, F8, 2, 135) (dual of [(80, 2), 16, 136]-NRT-code) | [i] | ||
| 75 | No linear OOA(8145, 80, F8, 2, 136) (dual of [(80, 2), 15, 137]-NRT-code) | [i] | ||
| 76 | No linear OOA(8146, 80, F8, 2, 137) (dual of [(80, 2), 14, 138]-NRT-code) | [i] | ||
| 77 | No linear OOA(8147, 80, F8, 2, 138) (dual of [(80, 2), 13, 139]-NRT-code) | [i] | ||
| 78 | No linear OOA(8148, 80, F8, 2, 139) (dual of [(80, 2), 12, 140]-NRT-code) | [i] | ||
| 79 | No linear OOA(8149, 80, F8, 2, 140) (dual of [(80, 2), 11, 141]-NRT-code) | [i] | ||
| 80 | No linear OOA(8150, 80, F8, 2, 141) (dual of [(80, 2), 10, 142]-NRT-code) | [i] | ||
| 81 | No linear OOA(8151, 80, F8, 2, 142) (dual of [(80, 2), 9, 143]-NRT-code) | [i] | ||
| 82 | No linear OOA(8152, 80, F8, 2, 143) (dual of [(80, 2), 8, 144]-NRT-code) | [i] | ||
| 83 | No linear OOA(8153, 80, F8, 2, 144) (dual of [(80, 2), 7, 145]-NRT-code) | [i] | ||
| 84 | No linear OOA(8154, 80, F8, 3, 145) (dual of [(80, 3), 86, 146]-NRT-code) | [i] | ||
| 85 | No linear OOA(8155, 80, F8, 3, 146) (dual of [(80, 3), 85, 147]-NRT-code) | [i] | ||
| 86 | No linear OOA(8156, 80, F8, 3, 147) (dual of [(80, 3), 84, 148]-NRT-code) | [i] | ||
| 87 | No linear OOA(8157, 80, F8, 3, 148) (dual of [(80, 3), 83, 149]-NRT-code) | [i] | ||
| 88 | No linear OOA(8158, 80, F8, 3, 149) (dual of [(80, 3), 82, 150]-NRT-code) | [i] | ||
| 89 | No linear OOA(8159, 80, F8, 3, 150) (dual of [(80, 3), 81, 151]-NRT-code) | [i] | ||
| 90 | No linear OOA(8160, 80, F8, 3, 151) (dual of [(80, 3), 80, 152]-NRT-code) | [i] | ||
| 91 | No linear OOA(8161, 80, F8, 3, 152) (dual of [(80, 3), 79, 153]-NRT-code) | [i] | ||
| 92 | No linear OOA(8162, 80, F8, 3, 153) (dual of [(80, 3), 78, 154]-NRT-code) | [i] | ||
| 93 | No linear OOA(8163, 80, F8, 3, 154) (dual of [(80, 3), 77, 155]-NRT-code) | [i] | ||
| 94 | No linear OOA(8164, 80, F8, 3, 155) (dual of [(80, 3), 76, 156]-NRT-code) | [i] | ||
| 95 | No linear OOA(8165, 80, F8, 3, 156) (dual of [(80, 3), 75, 157]-NRT-code) | [i] | ||
| 96 | No linear OOA(8166, 80, F8, 3, 157) (dual of [(80, 3), 74, 158]-NRT-code) | [i] | ||
| 97 | No linear OOA(8167, 80, F8, 3, 158) (dual of [(80, 3), 73, 159]-NRT-code) | [i] | ||
| 98 | No linear OOA(8168, 80, F8, 3, 159) (dual of [(80, 3), 72, 160]-NRT-code) | [i] | ||
| 99 | No linear OOA(8169, 80, F8, 3, 160) (dual of [(80, 3), 71, 161]-NRT-code) | [i] | ||
| 100 | No linear OOA(8170, 80, F8, 3, 161) (dual of [(80, 3), 70, 162]-NRT-code) | [i] | ||
| 101 | No linear OOA(8171, 80, F8, 3, 162) (dual of [(80, 3), 69, 163]-NRT-code) | [i] | ||
| 102 | No linear OOA(8172, 80, F8, 3, 163) (dual of [(80, 3), 68, 164]-NRT-code) | [i] | ||
| 103 | No linear OOA(8173, 80, F8, 3, 164) (dual of [(80, 3), 67, 165]-NRT-code) | [i] | ||
| 104 | No linear OOA(873, 80, F8, 2, 64) (dual of [(80, 2), 87, 65]-NRT-code) | [i] | Depth Reduction | |
| 105 | No linear OOA(873, 80, F8, 3, 64) (dual of [(80, 3), 167, 65]-NRT-code) | [i] | ||
| 106 | No digital (9, 73, 80)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |