Information on Result #674183
Linear OA(297, 107, F2, 45) (dual of [107, 10, 46]-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(227, 36, F2, 13) (dual of [36, 9, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(227, 37, F2, 13) (dual of [37, 10, 14]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
- linear OA(226, 31, F2, 15) (dual of [31, 5, 16]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), using code C1 for u = 5 by de Boer and Brouwer [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C2 ⊂ C1 [i] based on
- discarding factors / shortening the dual code based on linear OA(227, 37, F2, 13) (dual of [37, 10, 14]-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.