Information on Result #674182
Linear OA(269, 87, F2, 29) (dual of [87, 18, 30]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
- linear OA(257, 64, F2, 31) (dual of [64, 7, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(246, 64, F2, 21) (dual of [64, 18, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(212, 23, F2, 7) (dual of [23, 11, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-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 OA(269, 87, F2, 28) (dual of [87, 18, 29]-code) | [i] | Strength Reduction | |
2 | Linear OA(268, 86, F2, 28) (dual of [86, 18, 29]-code) | [i] | Truncation | |
3 | Linear OOA(269, 29, F2, 3, 29) (dual of [(29, 3), 18, 30]-NRT-code) | [i] | OOA Folding |