Information on Result #681412
Linear OA(4202, 258, F4, 103) (dual of [258, 56, 104]-code), using construction X applied to Ce(102) ⊂ Ce(101) based on
- linear OA(4202, 256, F4, 103) (dual of [256, 54, 104]-code), using an extension Ce(102) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,102], and designed minimum distance d ≥ |I|+1 = 103 [i]
- linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(4202, 258, F4, 102) (dual of [258, 56, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4202, 258, F4, 101) (dual of [258, 56, 102]-code) | [i] | ||
| 3 | Linear OA(4203, 259, F4, 103) (dual of [259, 56, 104]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4204, 260, F4, 103) (dual of [260, 56, 104]-code) | [i] | ||
| 5 | Linear OA(4205, 261, F4, 103) (dual of [261, 56, 104]-code) | [i] | ||
| 6 | Linear OA(4201, 257, F4, 102) (dual of [257, 56, 103]-code) | [i] | Truncation | |
| 7 | Linear OA(4199, 255, F4, 100) (dual of [255, 56, 101]-code) | [i] | ||
| 8 | Linear OA(4198, 254, F4, 99) (dual of [254, 56, 100]-code) | [i] | ||
| 9 | Linear OA(4197, 253, F4, 98) (dual of [253, 56, 99]-code) | [i] | ||
| 10 | Linear OA(4196, 252, F4, 97) (dual of [252, 56, 98]-code) | [i] | ||
| 11 | Linear OA(4195, 251, F4, 96) (dual of [251, 56, 97]-code) | [i] | ||
| 12 | Linear OA(4204, 261, F4, 103) (dual of [261, 57, 104]-code) | [i] | Construction X with Varšamov Bound | |
| 13 | Linear OA(4205, 263, F4, 103) (dual of [263, 58, 104]-code) | [i] | ||
| 14 | Linear OOA(4202, 129, F4, 2, 103) (dual of [(129, 2), 56, 104]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4202, 86, F4, 3, 103) (dual of [(86, 3), 56, 104]-NRT-code) | [i] | ||