Information on Result #673951
Linear OA(2164, 172, F2, 83) (dual of [172, 8, 84]-code), using construction X applied to Ce(126) ⊂ Ce(62) based on
- linear OA(2127, 128, F2, 127) (dual of [128, 1, 128]-code or 128-arc in PG(126,2)), using an extension Ce(126) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,126], and designed minimum distance d ≥ |I|+1 = 127 [i]
- linear OA(2120, 128, F2, 63) (dual of [128, 8, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(237, 44, F2, 19) (dual of [44, 7, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(237, 45, F2, 19) (dual of [45, 8, 20]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(237, 45, F2, 19) (dual of [45, 8, 20]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2164, 86, F2, 2, 83) (dual of [(86, 2), 8, 84]-NRT-code) | [i] | OOA Folding | |