Information on Result #736098
Linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-code), using codes obtained from BCH codes, concatenation and construction X
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(3105, 112, F3, 70) (dual of [112, 7, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3105, 112, F3, 69) (dual of [112, 7, 70]-code) | [i] | ||
| 3 | Linear OA(3105, 112, F3, 68) (dual of [112, 7, 69]-code) | [i] | ||
| 4 | Linear OA(3106, 113, F3, 71) (dual of [113, 7, 72]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3107, 114, F3, 71) (dual of [114, 7, 72]-code) | [i] | ||
| 6 | Linear OA(3108, 115, F3, 71) (dual of [115, 7, 72]-code) | [i] | ||
| 7 | Linear OA(3104, 111, F3, 70) (dual of [111, 7, 71]-code) | [i] | Truncation | |
| 8 | Linear OA(3103, 110, F3, 69) (dual of [110, 7, 70]-code) | [i] | ||
| 9 | Linear OA(3102, 109, F3, 68) (dual of [109, 7, 69]-code) | [i] | ||
| 10 | Linear OA(3100, 107, F3, 66) (dual of [107, 7, 67]-code) | [i] | ||
| 11 | Linear OA(399, 106, F3, 65) (dual of [106, 7, 66]-code) | [i] | ||
| 12 | Linear OA(398, 105, F3, 64) (dual of [105, 7, 65]-code) | [i] | ||
| 13 | Linear OA(3217, 224, F3, 143) (dual of [224, 7, 144]-code) | [i] | Repeating Each Code Word | |
| 14 | Linear OA(3126, 133, F3, 81) (dual of [133, 7, 82]-code) | [i] | Juxtaposition | |
| 15 | Linear OA(3128, 135, F3, 82) (dual of [135, 7, 83]-code) | [i] | ||
| 16 | Linear OA(3129, 136, F3, 83) (dual of [136, 7, 84]-code) | [i] | ||
| 17 | Linear OA(3130, 137, F3, 84) (dual of [137, 7, 85]-code) | [i] | ||
| 18 | Linear OA(3131, 138, F3, 85) (dual of [138, 7, 86]-code) | [i] | ||
| 19 | Linear OA(3132, 139, F3, 86) (dual of [139, 7, 87]-code) | [i] | ||
| 20 | Linear OA(3135, 142, F3, 87) (dual of [142, 7, 88]-code) | [i] | ||
| 21 | Linear OA(3136, 143, F3, 88) (dual of [143, 7, 89]-code) | [i] | ||
| 22 | Linear OA(3138, 145, F3, 89) (dual of [145, 7, 90]-code) | [i] | ||
| 23 | Linear OA(3140, 147, F3, 90) (dual of [147, 7, 91]-code) | [i] | ||
| 24 | Linear OA(3181, 188, F3, 117) (dual of [188, 7, 118]-code) | [i] | ||
| 25 | Linear OA(3182, 189, F3, 118) (dual of [189, 7, 119]-code) | [i] | ||
| 26 | Linear OA(3183, 190, F3, 119) (dual of [190, 7, 120]-code) | [i] | ||
| 27 | Linear OA(3184, 191, F3, 120) (dual of [191, 7, 121]-code) | [i] | ||
| 28 | Linear OA(3185, 192, F3, 121) (dual of [192, 7, 122]-code) | [i] | ||
| 29 | Linear OA(3186, 193, F3, 122) (dual of [193, 7, 123]-code) | [i] | ||
| 30 | Linear OA(3188, 195, F3, 123) (dual of [195, 7, 124]-code) | [i] | ||
| 31 | Linear OA(3189, 196, F3, 124) (dual of [196, 7, 125]-code) | [i] | ||
| 32 | Linear OA(3190, 197, F3, 125) (dual of [197, 7, 126]-code) | [i] | ||
| 33 | Linear OA(3197, 204, F3, 128) (dual of [204, 7, 129]-code) | [i] | ||
| 34 | Linear OA(3203, 210, F3, 132) (dual of [210, 7, 133]-code) | [i] | ||
| 35 | Linear OA(3204, 211, F3, 133) (dual of [211, 7, 134]-code) | [i] | ||
| 36 | Linear OA(3205, 212, F3, 134) (dual of [212, 7, 135]-code) | [i] | ||
| 37 | Linear OA(3211, 218, F3, 138) (dual of [218, 7, 139]-code) | [i] | ||
| 38 | Linear OA(3212, 219, F3, 139) (dual of [219, 7, 140]-code) | [i] | ||
| 39 | Linear OA(3213, 220, F3, 140) (dual of [220, 7, 141]-code) | [i] | ||
| 40 | Linear OA(3223, 230, F3, 145) (dual of [230, 7, 146]-code) | [i] | ||
| 41 | Linear OOA(3105, 56, F3, 2, 71) (dual of [(56, 2), 7, 72]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(3105, 37, F3, 3, 71) (dual of [(37, 3), 6, 72]-NRT-code) | [i] | ||
| 43 | Linear OOA(3105, 22, F3, 5, 71) (dual of [(22, 5), 5, 72]-NRT-code) | [i] | ||