Information on Result #2196818
Linear OA(3212, 244, F3, 121) (dual of [244, 32, 122]-code), using strength reduction based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [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(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3209, 241, F3, 118) (dual of [241, 32, 119]-code) | [i] | Truncation | |
| 2 | Linear OA(3208, 240, F3, 117) (dual of [240, 32, 118]-code) | [i] | ||
| 3 | Linear OA(3207, 239, F3, 116) (dual of [239, 32, 117]-code) | [i] | ||
| 4 | Linear OA(3206, 238, F3, 115) (dual of [238, 32, 116]-code) | [i] | ||
| 5 | Linear OA(3205, 237, F3, 114) (dual of [237, 32, 115]-code) | [i] | ||
| 6 | Linear OA(3204, 236, F3, 113) (dual of [236, 32, 114]-code) | [i] | ||
| 7 | Linear OA(3203, 235, F3, 112) (dual of [235, 32, 113]-code) | [i] | ||
| 8 | Linear OA(3202, 234, F3, 111) (dual of [234, 32, 112]-code) | [i] | ||
| 9 | Linear OA(3201, 233, F3, 110) (dual of [233, 32, 111]-code) | [i] | ||
| 10 | Linear OA(3200, 232, F3, 109) (dual of [232, 32, 110]-code) | [i] | ||
| 11 | Linear OA(3199, 231, F3, 108) (dual of [231, 32, 109]-code) | [i] | ||
| 12 | Linear OA(3198, 230, F3, 107) (dual of [230, 32, 108]-code) | [i] | ||
| 13 | Linear OA(3197, 229, F3, 106) (dual of [229, 32, 107]-code) | [i] | ||
| 14 | Linear OA(3196, 228, F3, 105) (dual of [228, 32, 106]-code) | [i] | ||
| 15 | Linear OA(3195, 227, F3, 104) (dual of [227, 32, 105]-code) | [i] | ||
| 16 | Linear OA(3194, 226, F3, 103) (dual of [226, 32, 104]-code) | [i] | ||
| 17 | Linear OA(3193, 225, F3, 102) (dual of [225, 32, 103]-code) | [i] | ||
| 18 | Linear OA(3192, 224, F3, 101) (dual of [224, 32, 102]-code) | [i] | ||
| 19 | Linear OA(3191, 223, F3, 100) (dual of [223, 32, 101]-code) | [i] | ||
| 20 | Linear OA(3190, 222, F3, 99) (dual of [222, 32, 100]-code) | [i] | ||
| 21 | Linear OA(3189, 221, F3, 98) (dual of [221, 32, 99]-code) | [i] | ||
| 22 | Linear OA(3188, 220, F3, 97) (dual of [220, 32, 98]-code) | [i] | ||
| 23 | Linear OA(3187, 219, F3, 96) (dual of [219, 32, 97]-code) | [i] | ||
| 24 | Linear OA(3186, 218, F3, 95) (dual of [218, 32, 96]-code) | [i] | ||
| 25 | Linear OA(3185, 217, F3, 94) (dual of [217, 32, 95]-code) | [i] | ||
| 26 | Linear OA(3184, 216, F3, 93) (dual of [216, 32, 94]-code) | [i] | ||
| 27 | Linear OA(3183, 215, F3, 92) (dual of [215, 32, 93]-code) | [i] | ||
| 28 | Linear OA(3182, 214, F3, 91) (dual of [214, 32, 92]-code) | [i] | ||
| 29 | Linear OA(3181, 213, F3, 90) (dual of [213, 32, 91]-code) | [i] | ||
| 30 | Linear OA(3180, 212, F3, 89) (dual of [212, 32, 90]-code) | [i] | ||
| 31 | Linear OA(3179, 211, F3, 88) (dual of [211, 32, 89]-code) | [i] | ||
| 32 | Linear OA(3178, 210, F3, 87) (dual of [210, 32, 88]-code) | [i] | ||
| 33 | Linear OA(3177, 209, F3, 86) (dual of [209, 32, 87]-code) | [i] | ||
| 34 | Linear OA(3176, 208, F3, 85) (dual of [208, 32, 86]-code) | [i] | ||
| 35 | Linear OA(3175, 207, F3, 84) (dual of [207, 32, 85]-code) | [i] | ||
| 36 | Linear OA(3174, 206, F3, 83) (dual of [206, 32, 84]-code) | [i] | ||
| 37 | Linear OA(3173, 205, F3, 82) (dual of [205, 32, 83]-code) | [i] | ||
| 38 | Linear OA(3172, 204, F3, 81) (dual of [204, 32, 82]-code) | [i] | ||
| 39 | Linear OA(3171, 203, F3, 80) (dual of [203, 32, 81]-code) | [i] | ||
| 40 | Linear OA(3170, 202, F3, 79) (dual of [202, 32, 80]-code) | [i] | ||
| 41 | Linear OA(3169, 201, F3, 78) (dual of [201, 32, 79]-code) | [i] | ||
| 42 | Linear OA(3168, 200, F3, 77) (dual of [200, 32, 78]-code) | [i] | ||
| 43 | Linear OA(3167, 199, F3, 76) (dual of [199, 32, 77]-code) | [i] | ||
| 44 | Linear OA(3166, 198, F3, 75) (dual of [198, 32, 76]-code) | [i] | ||
| 45 | Linear OA(3165, 197, F3, 74) (dual of [197, 32, 75]-code) | [i] | ||
| 46 | Linear OA(3164, 196, F3, 73) (dual of [196, 32, 74]-code) | [i] | ||
| 47 | Linear OA(3163, 195, F3, 72) (dual of [195, 32, 73]-code) | [i] | ||
| 48 | Linear OOA(3212, 122, F3, 2, 121) (dual of [(122, 2), 32, 122]-NRT-code) | [i] | OOA Folding | |