Information on Result #677379
Linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code), using construction XX applied to Ce(130) ⊂ Ce(121) ⊂ Ce(120) based on
- linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- 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(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(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(3235, 267, F3, 130) (dual of [267, 32, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3235, 267, F3, 129) (dual of [267, 32, 130]-code) | [i] | ||
| 3 | Linear OA(3235, 267, F3, 128) (dual of [267, 32, 129]-code) | [i] | ||
| 4 | Linear OA(3235, 267, F3, 127) (dual of [267, 32, 128]-code) | [i] | ||
| 5 | Linear OA(3235, 267, F3, 126) (dual of [267, 32, 127]-code) | [i] | ||
| 6 | Linear OA(3235, 267, F3, 125) (dual of [267, 32, 126]-code) | [i] | ||
| 7 | Linear OA(3235, 267, F3, 124) (dual of [267, 32, 125]-code) | [i] | ||
| 8 | Linear OA(3235, 267, F3, 123) (dual of [267, 32, 124]-code) | [i] | ||
| 9 | Linear OA(3235, 267, F3, 122) (dual of [267, 32, 123]-code) | [i] | ||
| 10 | Linear OA(3235, 267, F3, 121) (dual of [267, 32, 122]-code) | [i] | ||
| 11 | Linear OA(3235, 267, F3, 120) (dual of [267, 32, 121]-code) | [i] | ||
| 12 | Linear OA(3235, 267, F3, 119) (dual of [267, 32, 120]-code) | [i] | ||
| 13 | Linear OA(3235, 267, F3, 118) (dual of [267, 32, 119]-code) | [i] | ||
| 14 | Linear OA(3235, 267, F3, 117) (dual of [267, 32, 118]-code) | [i] | ||
| 15 | Linear OA(3235, 267, F3, 116) (dual of [267, 32, 117]-code) | [i] | ||
| 16 | Linear OA(3235, 267, F3, 115) (dual of [267, 32, 116]-code) | [i] | ||
| 17 | Linear OA(3235, 267, F3, 114) (dual of [267, 32, 115]-code) | [i] | ||
| 18 | Linear OA(3236, 268, F3, 131) (dual of [268, 32, 132]-code) | [i] | Code Embedding in Larger Space | |
| 19 | Linear OA(3237, 269, F3, 131) (dual of [269, 32, 132]-code) | [i] | ||
| 20 | Linear OA(3238, 270, F3, 131) (dual of [270, 32, 132]-code) | [i] | ||
| 21 | Linear OA(3239, 271, F3, 131) (dual of [271, 32, 132]-code) | [i] | ||
| 22 | Linear OA(3244, 276, F3, 131) (dual of [276, 32, 132]-code) | [i] | ||
| 23 | Linear OA(3250, 282, F3, 131) (dual of [282, 32, 132]-code) | [i] | ||
| 24 | Linear OA(3233, 265, F3, 129) (dual of [265, 32, 130]-code) | [i] | Truncation | |
| 25 | Linear OA(3232, 264, F3, 128) (dual of [264, 32, 129]-code) | [i] | ||
| 26 | Linear OA(3229, 261, F3, 125) (dual of [261, 32, 126]-code) | [i] | ||
| 27 | Linear OA(3226, 258, F3, 122) (dual of [258, 32, 123]-code) | [i] | ||
| 28 | Linear OA(3225, 257, F3, 121) (dual of [257, 32, 122]-code) | [i] | ||
| 29 | Linear OA(3224, 256, F3, 120) (dual of [256, 32, 121]-code) | [i] | ||
| 30 | Linear OA(3223, 255, F3, 119) (dual of [255, 32, 120]-code) | [i] | ||
| 31 | Linear OA(3222, 254, F3, 118) (dual of [254, 32, 119]-code) | [i] | ||
| 32 | Linear OA(3220, 252, F3, 116) (dual of [252, 32, 117]-code) | [i] | ||
| 33 | Linear OA(3217, 249, F3, 113) (dual of [249, 32, 114]-code) | [i] | ||
| 34 | Linear OA(3216, 248, F3, 112) (dual of [248, 32, 113]-code) | [i] | ||
| 35 | Linear OA(3215, 247, F3, 111) (dual of [247, 32, 112]-code) | [i] | ||
| 36 | Linear OA(3214, 246, F3, 110) (dual of [246, 32, 111]-code) | [i] | ||
| 37 | Linear OA(3213, 245, F3, 109) (dual of [245, 32, 110]-code) | [i] | ||
| 38 | Linear OA(3209, 241, F3, 105) (dual of [241, 32, 106]-code) | [i] | ||
| 39 | Linear OA(3208, 240, F3, 104) (dual of [240, 32, 105]-code) | [i] | ||
| 40 | Linear OA(3207, 239, F3, 103) (dual of [239, 32, 104]-code) | [i] | ||
| 41 | Linear OA(3206, 238, F3, 102) (dual of [238, 32, 103]-code) | [i] | ||
| 42 | Linear OA(3205, 237, F3, 101) (dual of [237, 32, 102]-code) | [i] | ||
| 43 | Linear OA(3204, 236, F3, 100) (dual of [236, 32, 101]-code) | [i] | ||
| 44 | Linear OA(3203, 235, F3, 99) (dual of [235, 32, 100]-code) | [i] | ||
| 45 | Linear OA(3202, 234, F3, 98) (dual of [234, 32, 99]-code) | [i] | ||
| 46 | Linear OA(3201, 233, F3, 97) (dual of [233, 32, 98]-code) | [i] | ||
| 47 | Linear OA(3200, 232, F3, 96) (dual of [232, 32, 97]-code) | [i] | ||
| 48 | Linear OA(3199, 231, F3, 95) (dual of [231, 32, 96]-code) | [i] | ||
| 49 | Linear OA(3198, 230, F3, 94) (dual of [230, 32, 95]-code) | [i] | ||
| 50 | Linear OA(3197, 229, F3, 93) (dual of [229, 32, 94]-code) | [i] | ||
| 51 | Linear OA(3196, 228, F3, 92) (dual of [228, 32, 93]-code) | [i] | ||
| 52 | Linear OA(3195, 227, F3, 91) (dual of [227, 32, 92]-code) | [i] | ||
| 53 | Linear OA(3194, 226, F3, 90) (dual of [226, 32, 91]-code) | [i] | ||
| 54 | Linear OOA(3235, 133, F3, 2, 131) (dual of [(133, 2), 31, 132]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(3235, 89, F3, 3, 131) (dual of [(89, 3), 32, 132]-NRT-code) | [i] | ||