Information on Result #626296
Linear OA(8126, 130, F8, 111) (dual of [130, 4, 112]-code), using repeating each code word 2 times based on linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
- projective code from ovoid in PG(3, 8) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [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.
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 | Linear OA(8126, 130, F8, 110) (dual of [130, 4, 111]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8126, 130, F8, 109) (dual of [130, 4, 110]-code) | [i] | ||
| 3 | Linear OA(8126, 130, F8, 108) (dual of [130, 4, 109]-code) | [i] | ||
| 4 | Linear OA(8126, 130, F8, 107) (dual of [130, 4, 108]-code) | [i] | ||
| 5 | Linear OA(8126, 130, F8, 106) (dual of [130, 4, 107]-code) | [i] | ||
| 6 | Linear OA(8126, 130, F8, 105) (dual of [130, 4, 106]-code) | [i] | ||
| 7 | Linear OA(8127, 131, F8, 111) (dual of [131, 4, 112]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(8125, 129, F8, 110) (dual of [129, 4, 111]-code) | [i] | Truncation | |
| 9 | Linear OA(8123, 127, F8, 108) (dual of [127, 4, 109]-code) | [i] | ||
| 10 | Linear OA(8121, 125, F8, 106) (dual of [125, 4, 107]-code) | [i] | ||
| 11 | Linear OA(8119, 123, F8, 104) (dual of [123, 4, 105]-code) | [i] | ||
| 12 | Linear OA(8117, 121, F8, 102) (dual of [121, 4, 103]-code) | [i] | ||
| 13 | Linear OA(8115, 119, F8, 100) (dual of [119, 4, 101]-code) | [i] | ||
| 14 | Linear OA(8113, 117, F8, 98) (dual of [117, 4, 99]-code) | [i] | ||
| 15 | Linear OA(8111, 115, F8, 96) (dual of [115, 4, 97]-code) | [i] | ||
| 16 | Linear OA(8109, 113, F8, 94) (dual of [113, 4, 95]-code) | [i] | ||
| 17 | Linear OA(8107, 111, F8, 92) (dual of [111, 4, 93]-code) | [i] | ||
| 18 | Linear OA(8130, 134, F8, 112) (dual of [134, 4, 113]-code) | [i] | Juxtaposition | |
| 19 | Linear OA(8131, 135, F8, 113) (dual of [135, 4, 114]-code) | [i] | ||
| 20 | Linear OA(8132, 136, F8, 114) (dual of [136, 4, 115]-code) | [i] | ||
| 21 | Linear OA(8133, 137, F8, 115) (dual of [137, 4, 116]-code) | [i] | ||
| 22 | Linear OA(8134, 138, F8, 116) (dual of [138, 4, 117]-code) | [i] | ||
| 23 | Linear OA(8135, 139, F8, 117) (dual of [139, 4, 118]-code) | [i] | ||
| 24 | Linear OA(8137, 141, F8, 118) (dual of [141, 4, 119]-code) | [i] | ||
| 25 | Linear OA(8138, 142, F8, 119) (dual of [142, 4, 120]-code) | [i] | ||
| 26 | Linear OA(8139, 143, F8, 120) (dual of [143, 4, 121]-code) | [i] | ||
| 27 | Linear OA(8140, 144, F8, 121) (dual of [144, 4, 122]-code) | [i] | ||
| 28 | Linear OA(8142, 146, F8, 122) (dual of [146, 4, 123]-code) | [i] | ||
| 29 | Linear OA(8143, 147, F8, 123) (dual of [147, 4, 124]-code) | [i] | ||
| 30 | Linear OA(8145, 149, F8, 124) (dual of [149, 4, 125]-code) | [i] | ||
| 31 | Linear OA(8146, 150, F8, 125) (dual of [150, 4, 126]-code) | [i] | ||
| 32 | Linear OA(8147, 151, F8, 126) (dual of [151, 4, 127]-code) | [i] | ||
| 33 | Linear OA(8148, 152, F8, 127) (dual of [152, 4, 128]-code) | [i] | ||
| 34 | Linear OA(8149, 153, F8, 128) (dual of [153, 4, 129]-code) | [i] | ||
| 35 | Linear OA(8150, 154, F8, 129) (dual of [154, 4, 130]-code) | [i] | ||
| 36 | Linear OA(8157, 161, F8, 135) (dual of [161, 4, 136]-code) | [i] | ||
| 37 | Linear OA(8158, 162, F8, 136) (dual of [162, 4, 137]-code) | [i] | ||
| 38 | Linear OA(8163, 167, F8, 140) (dual of [167, 4, 141]-code) | [i] | ||
| 39 | Linear OA(8164, 168, F8, 141) (dual of [168, 4, 142]-code) | [i] | ||
| 40 | Linear OA(8165, 169, F8, 142) (dual of [169, 4, 143]-code) | [i] | ||
| 41 | Linear OA(8166, 170, F8, 143) (dual of [170, 4, 144]-code) | [i] | ||
| 42 | Linear OA(8167, 171, F8, 144) (dual of [171, 4, 145]-code) | [i] | ||
| 43 | Linear OA(8168, 172, F8, 145) (dual of [172, 4, 146]-code) | [i] | ||
| 44 | Linear OA(8169, 173, F8, 146) (dual of [173, 4, 147]-code) | [i] | ||
| 45 | Linear OA(8170, 174, F8, 147) (dual of [174, 4, 148]-code) | [i] | ||
| 46 | Linear OA(8148, 152, F8, 128) (dual of [152, 4, 129]-code) | [i] | ||
| 47 | Linear OA(8149, 153, F8, 129) (dual of [153, 4, 130]-code) | [i] | ||
| 48 | Linear OA(8150, 154, F8, 130) (dual of [154, 4, 131]-code) | [i] | ||
| 49 | Linear OA(8151, 155, F8, 131) (dual of [155, 4, 132]-code) | [i] | ||
| 50 | Linear OA(8162, 166, F8, 140) (dual of [166, 4, 141]-code) | [i] | ||
| 51 | Linear OA(8163, 167, F8, 141) (dual of [167, 4, 142]-code) | [i] | ||
| 52 | Linear OA(8164, 168, F8, 142) (dual of [168, 4, 143]-code) | [i] | ||
| 53 | Linear OA(8165, 169, F8, 143) (dual of [169, 4, 144]-code) | [i] | ||
| 54 | Linear OOA(8126, 65, F8, 2, 111) (dual of [(65, 2), 4, 112]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(8126, 43, F8, 3, 111) (dual of [(43, 3), 3, 112]-NRT-code) | [i] | ||