Information on Result #674189
Linear OA(2107, 115, F2, 53) (dual of [115, 8, 54]-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(240, 47, F2, 21) (dual of [47, 7, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(240, 48, F2, 21) (dual of [48, 8, 22]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(240, 48, F2, 21) (dual of [48, 8, 22]-code), using
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 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.