Information on Result #674184
Linear OA(282, 92, F2, 39) (dual of [92, 10, 40]-code), using construction XX applied to Ce(62) ⊂ Ce(30) ⊂ Ce(26) based on
- linear OA(263, 64, F2, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,2)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- 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(254, 64, F2, 27) (dual of [64, 10, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(212, 21, F2, 7) (dual of [21, 9, 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
- linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.