Information on Result #2198503
Linear OA(3235, 267, F3, 127) (dual of [267, 32, 128]-code), using strength reduction based on linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code), using
- construction XX applied to Ce(130) ⊂ Ce(121) ⊂ Ce(120) [i] 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(3233, 265, F3, 125) (dual of [265, 32, 126]-code) | [i] | Truncation | |
| 2 | Linear OA(3232, 264, F3, 124) (dual of [264, 32, 125]-code) | [i] | ||
| 3 | Linear OA(3229, 261, F3, 121) (dual of [261, 32, 122]-code) | [i] | ||
| 4 | Linear OA(3226, 258, F3, 118) (dual of [258, 32, 119]-code) | [i] | ||
| 5 | Linear OA(3225, 257, F3, 117) (dual of [257, 32, 118]-code) | [i] | ||
| 6 | Linear OA(3224, 256, F3, 116) (dual of [256, 32, 117]-code) | [i] | ||
| 7 | Linear OA(3223, 255, F3, 115) (dual of [255, 32, 116]-code) | [i] | ||
| 8 | Linear OA(3222, 254, F3, 114) (dual of [254, 32, 115]-code) | [i] | ||
| 9 | Linear OA(3220, 252, F3, 112) (dual of [252, 32, 113]-code) | [i] | ||
| 10 | Linear OA(3217, 249, F3, 109) (dual of [249, 32, 110]-code) | [i] | ||
| 11 | Linear OA(3216, 248, F3, 108) (dual of [248, 32, 109]-code) | [i] | ||
| 12 | Linear OA(3215, 247, F3, 107) (dual of [247, 32, 108]-code) | [i] | ||
| 13 | Linear OA(3214, 246, F3, 106) (dual of [246, 32, 107]-code) | [i] | ||
| 14 | Linear OA(3213, 245, F3, 105) (dual of [245, 32, 106]-code) | [i] | ||
| 15 | Linear OA(3209, 241, F3, 101) (dual of [241, 32, 102]-code) | [i] | ||
| 16 | Linear OA(3208, 240, F3, 100) (dual of [240, 32, 101]-code) | [i] | ||
| 17 | Linear OA(3207, 239, F3, 99) (dual of [239, 32, 100]-code) | [i] | ||
| 18 | Linear OA(3206, 238, F3, 98) (dual of [238, 32, 99]-code) | [i] | ||
| 19 | Linear OA(3205, 237, F3, 97) (dual of [237, 32, 98]-code) | [i] | ||
| 20 | Linear OA(3204, 236, F3, 96) (dual of [236, 32, 97]-code) | [i] | ||