Information on Result #2197440
Linear OA(3221, 253, F3, 124) (dual of [253, 32, 125]-code), using strength reduction based on linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code), using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- linear OA(3217, 243, F3, 125) (dual of [243, 26, 126]-code), using an extension Ce(124) of 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(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of 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(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(3220, 252, F3, 123) (dual of [252, 32, 124]-code) | [i] | Truncation | |
| 2 | Linear OA(3217, 249, F3, 120) (dual of [249, 32, 121]-code) | [i] | ||
| 3 | Linear OA(3216, 248, F3, 119) (dual of [248, 32, 120]-code) | [i] | ||
| 4 | Linear OA(3215, 247, F3, 118) (dual of [247, 32, 119]-code) | [i] | ||
| 5 | Linear OA(3214, 246, F3, 117) (dual of [246, 32, 118]-code) | [i] | ||
| 6 | Linear OA(3213, 245, F3, 116) (dual of [245, 32, 117]-code) | [i] | ||
| 7 | Linear OA(3209, 241, F3, 112) (dual of [241, 32, 113]-code) | [i] | ||
| 8 | Linear OA(3208, 240, F3, 111) (dual of [240, 32, 112]-code) | [i] | ||
| 9 | Linear OA(3207, 239, F3, 110) (dual of [239, 32, 111]-code) | [i] | ||
| 10 | Linear OA(3206, 238, F3, 109) (dual of [238, 32, 110]-code) | [i] | ||
| 11 | Linear OA(3205, 237, F3, 108) (dual of [237, 32, 109]-code) | [i] | ||
| 12 | Linear OA(3204, 236, F3, 107) (dual of [236, 32, 108]-code) | [i] | ||
| 13 | Linear OA(3203, 235, F3, 106) (dual of [235, 32, 107]-code) | [i] | ||
| 14 | Linear OA(3202, 234, F3, 105) (dual of [234, 32, 106]-code) | [i] | ||
| 15 | Linear OA(3201, 233, F3, 104) (dual of [233, 32, 105]-code) | [i] | ||
| 16 | Linear OA(3200, 232, F3, 103) (dual of [232, 32, 104]-code) | [i] | ||
| 17 | Linear OA(3199, 231, F3, 102) (dual of [231, 32, 103]-code) | [i] | ||
| 18 | Linear OA(3198, 230, F3, 101) (dual of [230, 32, 102]-code) | [i] | ||
| 19 | Linear OA(3197, 229, F3, 100) (dual of [229, 32, 101]-code) | [i] | ||
| 20 | Linear OA(3196, 228, F3, 99) (dual of [228, 32, 100]-code) | [i] | ||
| 21 | Linear OA(3195, 227, F3, 98) (dual of [227, 32, 99]-code) | [i] | ||
| 22 | Linear OA(3194, 226, F3, 97) (dual of [226, 32, 98]-code) | [i] | ||
| 23 | Linear OA(3193, 225, F3, 96) (dual of [225, 32, 97]-code) | [i] | ||
| 24 | Linear OA(3192, 224, F3, 95) (dual of [224, 32, 96]-code) | [i] | ||
| 25 | Linear OA(3191, 223, F3, 94) (dual of [223, 32, 95]-code) | [i] | ||
| 26 | Linear OA(3190, 222, F3, 93) (dual of [222, 32, 94]-code) | [i] | ||
| 27 | Linear OA(3189, 221, F3, 92) (dual of [221, 32, 93]-code) | [i] | ||
| 28 | Linear OA(3188, 220, F3, 91) (dual of [220, 32, 92]-code) | [i] | ||
| 29 | Linear OA(3187, 219, F3, 90) (dual of [219, 32, 91]-code) | [i] | ||
| 30 | Linear OA(3186, 218, F3, 89) (dual of [218, 32, 90]-code) | [i] | ||
| 31 | Linear OA(3185, 217, F3, 88) (dual of [217, 32, 89]-code) | [i] | ||
| 32 | Linear OA(3184, 216, F3, 87) (dual of [216, 32, 88]-code) | [i] | ||
| 33 | Linear OA(3183, 215, F3, 86) (dual of [215, 32, 87]-code) | [i] | ||
| 34 | Linear OA(3182, 214, F3, 85) (dual of [214, 32, 86]-code) | [i] | ||
| 35 | Linear OA(3181, 213, F3, 84) (dual of [213, 32, 85]-code) | [i] | ||
| 36 | Linear OA(3180, 212, F3, 83) (dual of [212, 32, 84]-code) | [i] | ||
| 37 | Linear OA(3179, 211, F3, 82) (dual of [211, 32, 83]-code) | [i] | ||
| 38 | Linear OA(3178, 210, F3, 81) (dual of [210, 32, 82]-code) | [i] | ||
| 39 | Linear OA(3177, 209, F3, 80) (dual of [209, 32, 81]-code) | [i] | ||