Information on Result #703693

Linear OA(3230, 262, F3, 128) (dual of [262, 32, 129]-code), using construction XX applied to C1 = C([239,120]), C2 = C([1,124]), C3 = C1 + C2 = C([1,120]), and C∩ = C1 ∩ C2 = C([239,124]) based on
  1. linear OA(3216, 242, F3, 124) (dual of [242, 26, 125]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,120}, and designed minimum distance d ≥ |I|+1 = 125 [i]
  2. 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]
  3. linear OA(3222, 242, F3, 128) (dual of [242, 20, 129]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,124}, and designed minimum distance d ≥ |I|+1 = 129 [i]
  4. 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]
  5. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
  6. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)) (see above)

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:

ResultThis
result
only		Method
1Linear OA(3236, 268, F3, 128) (dual of [268, 32, 129]-code) [i]Code Embedding in Larger Space
2Linear OA(3250, 282, F3, 128) (dual of [282, 32, 129]-code) [i]
3Linear OA(3229, 261, F3, 127) (dual of [261, 32, 128]-code) [i]Truncation
4Linear OA(3226, 258, F3, 124) (dual of [258, 32, 125]-code) [i]
5Linear OA(3225, 257, F3, 123) (dual of [257, 32, 124]-code) [i]
6Linear OA(3224, 256, F3, 122) (dual of [256, 32, 123]-code) [i]
7Linear OA(3223, 255, F3, 121) (dual of [255, 32, 122]-code) [i]
8Linear OA(3222, 254, F3, 120) (dual of [254, 32, 121]-code) [i]
9Linear OA(3220, 252, F3, 118) (dual of [252, 32, 119]-code) [i]
10Linear OA(3217, 249, F3, 115) (dual of [249, 32, 116]-code) [i]
11Linear OA(3216, 248, F3, 114) (dual of [248, 32, 115]-code) [i]
12Linear OA(3215, 247, F3, 113) (dual of [247, 32, 114]-code) [i]
13Linear OA(3214, 246, F3, 112) (dual of [246, 32, 113]-code) [i]
14Linear OA(3213, 245, F3, 111) (dual of [245, 32, 112]-code) [i]
15Linear OA(3209, 241, F3, 107) (dual of [241, 32, 108]-code) [i]
16Linear OA(3208, 240, F3, 106) (dual of [240, 32, 107]-code) [i]
17Linear OA(3207, 239, F3, 105) (dual of [239, 32, 106]-code) [i]
18Linear OA(3206, 238, F3, 104) (dual of [238, 32, 105]-code) [i]
19Linear OA(3205, 237, F3, 103) (dual of [237, 32, 104]-code) [i]
20Linear OA(3204, 236, F3, 102) (dual of [236, 32, 103]-code) [i]
21Linear OA(3203, 235, F3, 101) (dual of [235, 32, 102]-code) [i]
22Linear OA(3202, 234, F3, 100) (dual of [234, 32, 101]-code) [i]
23Linear OA(3201, 233, F3, 99) (dual of [233, 32, 100]-code) [i]
24Linear OA(3200, 232, F3, 98) (dual of [232, 32, 99]-code) [i]
25Linear OA(3199, 231, F3, 97) (dual of [231, 32, 98]-code) [i]
26Linear OA(3198, 230, F3, 96) (dual of [230, 32, 97]-code) [i]
27Linear OA(3197, 229, F3, 95) (dual of [229, 32, 96]-code) [i]
28Linear OA(3196, 228, F3, 94) (dual of [228, 32, 95]-code) [i]
29Linear OA(3195, 227, F3, 93) (dual of [227, 32, 94]-code) [i]
30Linear OA(3194, 226, F3, 92) (dual of [226, 32, 93]-code) [i]
31Linear OA(3193, 225, F3, 91) (dual of [225, 32, 92]-code) [i]
32Linear OA(3192, 224, F3, 90) (dual of [224, 32, 91]-code) [i]
33Linear OA(3247, 280, F3, 128) (dual of [280, 33, 129]-code) [i]Construction X with VarÅ¡amov Bound
34Linear OOA(3230, 131, F3, 2, 128) (dual of [(131, 2), 32, 129]-NRT-code) [i]OOA Folding