Information on Result #2199160
Linear OA(3243, 275, F3, 132) (dual of [275, 32, 133]-code), using strength reduction based on linear OA(3243, 275, F3, 133) (dual of [275, 32, 134]-code), using
- construction XX applied to C1 = C([233,120]), C2 = C([1,124]), C3 = C1 + C2 = C([1,120]), and C∩ = C1 ∩ C2 = C([233,124]) [i] based on
- linear OA(3221, 242, F3, 130) (dual of [242, 21, 131]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,120}, and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3216, 242, F3, 124) (dual of [242, 26, 125]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,124], and designed minimum distance d ≥ |I|+1 = 125 [i]
- linear OA(3227, 242, F3, 134) (dual of [242, 15, 135]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,124}, and designed minimum distance d ≥ |I|+1 = 135 [i]
- linear OA(3210, 242, F3, 120) (dual of [242, 32, 121]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(312, 23, F3, 8) (dual of [23, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
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 OA(3242, 274, F3, 131) (dual of [274, 32, 132]-code) | [i] | Truncation | |
| 2 | Linear OA(3241, 273, F3, 130) (dual of [273, 32, 131]-code) | [i] | ||
| 3 | Linear OA(3239, 271, F3, 128) (dual of [271, 32, 129]-code) | [i] | ||
| 4 | Linear OA(3238, 270, F3, 127) (dual of [270, 32, 128]-code) | [i] | ||
| 5 | Linear OA(3237, 269, F3, 126) (dual of [269, 32, 127]-code) | [i] | ||
| 6 | Linear OA(3236, 268, F3, 125) (dual of [268, 32, 126]-code) | [i] | ||
| 7 | Linear OA(3233, 265, F3, 122) (dual of [265, 32, 123]-code) | [i] | ||
| 8 | Linear OA(3232, 264, F3, 121) (dual of [264, 32, 122]-code) | [i] | ||
| 9 | Linear OA(3229, 261, F3, 118) (dual of [261, 32, 119]-code) | [i] | ||
| 10 | Linear OA(3226, 258, F3, 115) (dual of [258, 32, 116]-code) | [i] | ||
| 11 | Linear OA(3225, 257, F3, 114) (dual of [257, 32, 115]-code) | [i] | ||
| 12 | Linear OA(3224, 256, F3, 113) (dual of [256, 32, 114]-code) | [i] | ||
| 13 | Linear OA(3223, 255, F3, 112) (dual of [255, 32, 113]-code) | [i] | ||
| 14 | Linear OA(3222, 254, F3, 111) (dual of [254, 32, 112]-code) | [i] | ||
| 15 | Linear OA(3220, 252, F3, 109) (dual of [252, 32, 110]-code) | [i] | ||
| 16 | Linear OA(3217, 249, F3, 106) (dual of [249, 32, 107]-code) | [i] | ||
| 17 | Linear OA(3216, 248, F3, 105) (dual of [248, 32, 106]-code) | [i] | ||
| 18 | Linear OA(3215, 247, F3, 104) (dual of [247, 32, 105]-code) | [i] | ||
| 19 | Linear OA(3214, 246, F3, 103) (dual of [246, 32, 104]-code) | [i] | ||
| 20 | Linear OA(3213, 245, F3, 102) (dual of [245, 32, 103]-code) | [i] | ||
| 21 | Linear OOA(3243, 55, F3, 5, 132) (dual of [(55, 5), 32, 133]-NRT-code) | [i] | OOA Folding | |